Communications in Mathematical Physics, ISSN 0010-3616, 05/2006, Volume 264, Issue 1, pp. 41 - 69

In this paper, we initiate the study of C*-algebras endowed with a twisted action of a locally compact abelian Lie group , and we construct a twisted crossed...

Quantum Computing, Information and Physics | Relativity and Cosmology | Mathematical and Computational Physics | Quantum Physics | Nonlinear Dynamics, Complex Systems, Chaos, Neural Networks | Physics | Statistical Physics | TOPOLOGY | BUNDLES | REPRESENTATIONS | EXTENSIONS | C-STAR-ALGEBRAS | PHYSICS, MATHEMATICAL | HOMOLOGY | TWISTED CROSSED-PRODUCTS | Physics - High Energy Physics - Theory

Quantum Computing, Information and Physics | Relativity and Cosmology | Mathematical and Computational Physics | Quantum Physics | Nonlinear Dynamics, Complex Systems, Chaos, Neural Networks | Physics | Statistical Physics | TOPOLOGY | BUNDLES | REPRESENTATIONS | EXTENSIONS | C-STAR-ALGEBRAS | PHYSICS, MATHEMATICAL | HOMOLOGY | TWISTED CROSSED-PRODUCTS | Physics - High Energy Physics - Theory

Journal Article

Discrete Applied Mathematics, ISSN 0166-218X, 10/2014, Volume 175, pp. 24 - 34

In 1991, Tzvieli presented several families of optimal four-regular circulants. Prominent among them are three families that include graphs having vertices for...

Double-loop graphs | Network topology | Twisted tori | Graphs and networks | Tight-optimal circulants | Chordal rings | MATHEMATICS, APPLIED | DOUBLE-LOOP NETWORKS | EFFICIENT DOMINATION | Mathematical analysis | Graphs | Optimization

Double-loop graphs | Network topology | Twisted tori | Graphs and networks | Tight-optimal circulants | Chordal rings | MATHEMATICS, APPLIED | DOUBLE-LOOP NETWORKS | EFFICIENT DOMINATION | Mathematical analysis | Graphs | Optimization

Journal Article

ASIAN JOURNAL OF MATHEMATICS, ISSN 1093-6106, 04/2017, Volume 21, Issue 2, pp. 197 - 224

Let K/k be a finite Galois extension and pi = Gal(K/k). An algebraic torus T defined over k is called a pi-torus if T x(Spec(k)) Spec(K) similar or equal to...

MATHEMATICS | MATHEMATICS, APPLIED | maximal orders | locally free class groups | PROJECTIVE-MODULES | REPRESENTATIONS | rationality problem | twisted group rings | class numbers | Algebraic torus

MATHEMATICS | MATHEMATICS, APPLIED | maximal orders | locally free class groups | PROJECTIVE-MODULES | REPRESENTATIONS | rationality problem | twisted group rings | class numbers | Algebraic torus

Journal Article

Theoretical Computer Science, ISSN 0304-3975, 2010, Volume 411, Issue 40, pp. 3763 - 3773

The hypercube is one of the most popular interconnection networks since it has a simple structure and is easy to implement. An -dimensional twisted cube, , is...

Hypercube-embedding | Disjoint hypercubes | Mesh-embedding | Disjoint tori | Torus-embedding | Algorithm | Interconnection networks | Twisted cubes | Disjoint meshes | CROSSED CUBE | MESHES | MULTIPROCESSORS | PANCYCLICITY | PATHS | FAMILY | GRAPHS | COMPUTER SCIENCE, THEORY & METHODS | Algorithms | Integers | Interconnection | C (programming language) | Preserves | Cubes | Dilation | Graphs | Hypercubes

Hypercube-embedding | Disjoint hypercubes | Mesh-embedding | Disjoint tori | Torus-embedding | Algorithm | Interconnection networks | Twisted cubes | Disjoint meshes | CROSSED CUBE | MESHES | MULTIPROCESSORS | PANCYCLICITY | PATHS | FAMILY | GRAPHS | COMPUTER SCIENCE, THEORY & METHODS | Algorithms | Integers | Interconnection | C (programming language) | Preserves | Cubes | Dilation | Graphs | Hypercubes

Journal Article

Studia Mathematica, ISSN 0039-3223, 2016, Volume 234, Issue 1, pp. 49 - 58

We give a systematic construction of inverse-closed (Banach) subalgebras in general higher-dimensional non-commutative tori.

Twisted convolution | Spectral invariance | Inverse-closed | GRS condition | algebra | Enveloping C | Non-commutative torus | MATHEMATICS | non-commutative torus | inverse-closed | spectral invariance | ALGEBRAS | SYMMETRY | REPRESENTATIONS | twisted convolution | enveloping C-algebra | CONVOLUTION

Twisted convolution | Spectral invariance | Inverse-closed | GRS condition | algebra | Enveloping C | Non-commutative torus | MATHEMATICS | non-commutative torus | inverse-closed | spectral invariance | ALGEBRAS | SYMMETRY | REPRESENTATIONS | twisted convolution | enveloping C-algebra | CONVOLUTION

Journal Article

Nuclear Physics, Section B, ISSN 0550-3213, 2010, Volume 834, Issue 3, pp. 502 - 522

By exploiting the notion of Morita equivalence for field theories on noncommutative tori and choosing rational values of the noncommutativity parameter (in...

Twisted CFT | Noncommutative two-tori | Quantum Hall fluids | FRACTIONAL STATISTICS | SUPERCONDUCTIVITY | BROKEN SYMMETRY | CONFORMAL FIELD-THEORY | CONSTRUCTION | COVARIANT | SYSTEMS | QUANTIZATION | SPONTANEOUS INTERLAYER COHERENCE | EDGE STATES | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Theory

Twisted CFT | Noncommutative two-tori | Quantum Hall fluids | FRACTIONAL STATISTICS | SUPERCONDUCTIVITY | BROKEN SYMMETRY | CONFORMAL FIELD-THEORY | CONSTRUCTION | COVARIANT | SYSTEMS | QUANTIZATION | SPONTANEOUS INTERLAYER COHERENCE | EDGE STATES | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Theory

Journal Article

Mathematische Zeitschrift, ISSN 0025-5874, 6/2014, Volume 277, Issue 1, pp. 195 - 208

In this note, we compute the virtual first Betti numbers of 4-manifolds fibering over $$S^1$$ S 1 with prime fiber. As an application, we show that if such a...

Mathematics, general | Mathematics | TOPOLOGY | MATHEMATICS | FINITE COVERS | TWISTED ALEXANDER POLYNOMIALS | 3-MANIFOLDS | KODAIRA DIMENSION | 4-MANIFOLDS

Mathematics, general | Mathematics | TOPOLOGY | MATHEMATICS | FINITE COVERS | TWISTED ALEXANDER POLYNOMIALS | 3-MANIFOLDS | KODAIRA DIMENSION | 4-MANIFOLDS

Journal Article

Journal of Functional Analysis, ISSN 0022-1236, 2009, Volume 257, Issue 6, pp. 1921 - 1946

In the present investigation we link noncommutative geometry over noncommutative tori with Gabor analysis, where the first has its roots in operator algebras...

Twisted group [formula omitted]-algebras | Noncommutative tori | Standard Hilbert [formula omitted]-module frames | Spectral invariance | Gabor frames | Twisted group C | Standard Hilbert C | algebras | module frames | MATHEMATICS | LOCALIZATION | ATOMIC DECOMPOSITIONS | REPRESENTATIONS | Twisted group C-algebras | C-STAR-ALGEBRAS | Standard Hilbert C-module frames | STABLE RANK

Twisted group [formula omitted]-algebras | Noncommutative tori | Standard Hilbert [formula omitted]-module frames | Spectral invariance | Gabor frames | Twisted group C | Standard Hilbert C | algebras | module frames | MATHEMATICS | LOCALIZATION | ATOMIC DECOMPOSITIONS | REPRESENTATIONS | Twisted group C-algebras | C-STAR-ALGEBRAS | Standard Hilbert C-module frames | STABLE RANK

Journal Article

Journal of Knot Theory and Its Ramifications, ISSN 0218-2165, 07/2013, Volume 22, Issue 8, pp. 1350041 - 1350015

A twisted torus knot is a torus knot with a number of full-twists on some adjacent strands. In this paper, we show that if a twisted torus knot is a satellite...

essential annulus | Dehn surgery | essential torus | Twisted torus knot | SURGERY | MATHEMATICS | 3-MANIFOLDS | REDUCING DEHN FILLINGS | Satellites | Complement | Knot theory | Strands | Knots

essential annulus | Dehn surgery | essential torus | Twisted torus knot | SURGERY | MATHEMATICS | 3-MANIFOLDS | REDUCING DEHN FILLINGS | Satellites | Complement | Knot theory | Strands | Knots

Journal Article

International Journal of Modern Physics A, ISSN 0217-751X, 01/2012, Volume 27, Issue 2, p. 1250007

In a recent paper, by exploiting the notion of Morita equivalence for field theories on noncommutative tori and choosing rational values of the...

noncommutative two-tori | Twisted CFT | quantum Hall fluids | TORUS | FIELD-THEORY DESCRIPTION | STATES | STATISTICS | SYSTEMS | PHYSICS, NUCLEAR | PHYSICS, PARTICLES & FIELDS | Magnetic fields | Quantum theory

noncommutative two-tori | Twisted CFT | quantum Hall fluids | TORUS | FIELD-THEORY DESCRIPTION | STATES | STATISTICS | SYSTEMS | PHYSICS, NUCLEAR | PHYSICS, PARTICLES & FIELDS | Magnetic fields | Quantum theory

Journal Article

Simulation Series, ISSN 0735-9276, 2013, Volume 45, Issue 6, pp. 122 - 132

Conference Proceeding

International Journal of Computer Mathematics, ISSN 0020-7160, 05/2011, Volume 88, Issue 8, pp. 1595 - 1602

Twisted cubes are an important class of hypercube-variant interconnection networks for parallel computing. In this paper, we evaluate the fault-tolerant...

twisted cube | fault tolerance | torus | graph embedding | 68M10 | interconnection networks | 68R10 | mesh | Fault tolerance | Mesh | Graph embedding | Twisted cube | Torus | Interconnection networks | MATHEMATICS, APPLIED | CYCLES | PATHS | Networks | Computation | Interconnection | Parallel processing | Cubes | Mathematical models

twisted cube | fault tolerance | torus | graph embedding | 68M10 | interconnection networks | 68R10 | mesh | Fault tolerance | Mesh | Graph embedding | Twisted cube | Torus | Interconnection networks | MATHEMATICS, APPLIED | CYCLES | PATHS | Networks | Computation | Interconnection | Parallel processing | Cubes | Mathematical models

Journal Article

Physics Reports, ISSN 0370-1573, 03/2015, Volume 566, pp. 1 - 60

We review recent developments in duality symmetric string theory. We begin with the world-sheet doubled formalism which describes strings in an extended...

String theory | T-duality | M-theory | Generalized geometry | Supergravity | U-duality | TWISTED TORI | PHYSICS, MULTIDISCIPLINARY | SIGMA-MODEL | SPACE | LIE T-DUALITY | MATRIX-THEORY | COMPACTIFICATIONS | TORUS BUNDLES | GEOMETRY

String theory | T-duality | M-theory | Generalized geometry | Supergravity | U-duality | TWISTED TORI | PHYSICS, MULTIDISCIPLINARY | SIGMA-MODEL | SPACE | LIE T-DUALITY | MATRIX-THEORY | COMPACTIFICATIONS | TORUS BUNDLES | GEOMETRY

Journal Article

Communications in Number Theory and Physics, ISSN 1931-4523, 2008, Volume 2, Issue 2, pp. 421 - 476

We prove that the Shimizu L-function of a real quadratic field is obtained from a (Lorentzian) spectral triple on a noncommutative torus with real...

MATHEMATICS | MATHEMATICS, APPLIED | GOOD ORBIFOLDS | VALUES | C-STAR-ALGEBRAS | SIGNATURE DEFECTS | CUSPS | PHYSICS, MATHEMATICAL | TWISTED INDEX THEORY | RIEMANNIAN GEOMETRY

MATHEMATICS | MATHEMATICS, APPLIED | GOOD ORBIFOLDS | VALUES | C-STAR-ALGEBRAS | SIGNATURE DEFECTS | CUSPS | PHYSICS, MATHEMATICAL | TWISTED INDEX THEORY | RIEMANNIAN GEOMETRY

Journal Article

European Journal of Mathematics, ISSN 2199-675X, 3/2017, Volume 3, Issue 1, pp. 34 - 42

Let $$\phi :M\rightarrow M$$ ϕ : M → M be a diffeomorphism of a $$C^{\infty }$$ C ∞ compact connected manifold, and X its mapping torus. There is a natural...

Massey products | Twisted cohomology | 55T99 | 32Q15 | 55N25 | Algebraic Geometry | Mathematics | Mapping torus | Formal spaces | Strongly formal spaces

Massey products | Twisted cohomology | 55T99 | 32Q15 | 55N25 | Algebraic Geometry | Mathematics | Mapping torus | Formal spaces | Strongly formal spaces

Journal Article

JOURNAL OF THE KOREAN PHYSICAL SOCIETY, ISSN 0374-4884, 05/2007, Volume 50, pp. S25 - S28

We explore Type I and heterotic compactifications on twisted tori. Simple examples of Type I compactifications on twisted tori are represented and the tadpole...

PHYSICS, MULTIDISCIPLINARY | flux compactification | twisted tori

PHYSICS, MULTIDISCIPLINARY | flux compactification | twisted tori

Journal Article

Journal of the Korean Physical Society, ISSN 0374-4884, 05/2007, Volume 50, Issue 1, pp. S25 - S28

Journal Article

Acta Mathematica Scientia, ISSN 0252-9602, 2003, Volume 23, Issue 1, pp. 83 - 94

All C*-algebras of sections of locally trivial C*-algebra bundles over Pi(i=1)(s) L-ki (n(i)) with fibres Aomega circle times M-c (C) are constructed, under...

Twisted group C-algebra | C-algebra bundle | Cuntz algebra | Homogeneous C-algebra | Lens space | UHF-algebra | K-theory | Noncommutative torus | MATHEMATICS | REAL RANK ZERO | twisted group C-algebra | lens space | homogeneous C-algebra | CLASSIFICATION | noncommutative torus | C-STAR-ALGEBRAS

Twisted group C-algebra | C-algebra bundle | Cuntz algebra | Homogeneous C-algebra | Lens space | UHF-algebra | K-theory | Noncommutative torus | MATHEMATICS | REAL RANK ZERO | twisted group C-algebra | lens space | homogeneous C-algebra | CLASSIFICATION | noncommutative torus | C-STAR-ALGEBRAS

Journal Article

Physical Review D - Particles, Fields, Gravitation and Cosmology, ISSN 1550-7998, 02/2014, Volume 89, Issue 4

We study the Scherk-Schwarz reduction of D = 11 supergravity with background fluxes in the context of a recently developed framework pertaining to D = 11...

N=8 SUPERGRAVITY | TWISTED TORI | ASTRONOMY & ASTROPHYSICS | GAUGED SUPERGRAVITY | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Theory

N=8 SUPERGRAVITY | TWISTED TORI | ASTRONOMY & ASTROPHYSICS | GAUGED SUPERGRAVITY | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Theory

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 01/2006, Volume 2006, Issue 1, pp. 008 - 201

We consider type II string theory in space-time backgrounds which admit eight supercharges. Such backgrounds are characterized by the existence of a...

Superstring Vacua | Extended Supersymmetry | KAHLER-MANIFOLDS | II STRING COMPACTIFICATIONS | TWISTED TORI | QUATERNIONIC MANIFOLDS | FIELD-THEORIES | CALABI-YAU ORIENTIFOLDS | GENERAL FLUXES | GAUGED SUPERGRAVITY | extended supersymmetry | SUPERSYMMETRY BREAKING | superstring vacua | GEOMETRY | PHYSICS, PARTICLES & FIELDS

Superstring Vacua | Extended Supersymmetry | KAHLER-MANIFOLDS | II STRING COMPACTIFICATIONS | TWISTED TORI | QUATERNIONIC MANIFOLDS | FIELD-THEORIES | CALABI-YAU ORIENTIFOLDS | GENERAL FLUXES | GAUGED SUPERGRAVITY | extended supersymmetry | SUPERSYMMETRY BREAKING | superstring vacua | GEOMETRY | PHYSICS, PARTICLES & FIELDS

Journal Article

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