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2006, Operator algebras and non-commutative geometry, ISBN 9783540284864, Volume 122., xx, 517
A comprehensive treatment available of the general theory of C*-algebras and von Neumann algebras. Beginning with the basics, this book covers topics such as... 
C-algebras | Von Neumann algebras | Algebra
Book
2016, Münster Lectures in Mathematics, ISBN 9783037191651, x, 132 pages
Free probability is a probability theory dealing with variables having the highest degree of noncommutativity, an aspect found in many areas (quantum... 
Operator algebras | Free probability theory
Book
2016, Monographs and research notes in mathematics, ISBN 1498733883, Volume 12, xvi, 355
Uncover the Useful Interactions of Fixed Point Theory with Topological StructuresNonlinear Functional Analysis in Banach Spaces and Banach Algebras: Fixed... 
Mathematical analysis | Nonlinear theories | Mathematical optimization | Mathematical Physics | Differential Equations | Mathematical Analysis | Nonlinear functional analysis | Banach algebras | Banach spaces
Book
2014, CRM monograph series, ISBN 0821843559, Volume 33, xi, 306 pages
Book
2014, De Gruyter studies in mathematics, ISBN 9783110265170, Volume 53., xv, 360 pages
Book
Transactions of the American Mathematical Society, ISSN 0002-9947, 06/2019, Volume 371, Issue 6, pp. 4277 - 4301
We prove the conjectural isomorphism between the level k \widehat {\mathfrak{sl}}_2-parafermion vertex operator algebra and the (k+1,k+2)-minimal series... 
MATHEMATICS | DIMENSIONS | AFFINE | SYMMETRY | LEVEL | REPRESENTATIONS
Journal Article
Mathematische Nachrichten, ISSN 0025-584X, 10/2019, Volume 292, Issue 10, pp. 2129 - 2136
Jordan operator algebras are norm‐closed spaces of operators on a Hilbert space with a2∈A for all a∈A. In two recent papers by the authors and Neal, a theory... 
JC‐algebra | approximate identity | Primary: 17C65 | 46L07 | 46H70 | Jordan operator algebra | C∗‐envelope | hereditary subalgebra | states | 47L30 | 46L85 | 47L75 | real positivity | 46L70 | open projection | 47L05 | Jordan Banach algebra | Secondary: 46H10 | 47L10 | operator spaces | MATHEMATICS | real positivity states | C-envelope | JC-algebra | Algebra
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 05/2020, Volume 485, Issue 2, p. 123861
Let X be a right Hilbert module over a C⁎-algebra A equipped with the canonical operator space structure. We define an elementary operator on X as a map ϕ:X→X... 
[formula omitted]-algebra | Hilbert [formula omitted]-module | Elementary operator | Prime | Completely bounded map | MATHEMATICS | MATHEMATICS, APPLIED | Hilbert C-module | BOUNDED MAPPINGS | MORITA EQUIVALENCE | C-algebra | Mathematics - Operator Algebras
Journal Article
POSITIVITY, ISSN 1385-1292, 02/2020, Volume 24, Issue 1, pp. 13 - 53
Examples of operator algebras with involution include the operator *-algebras occurring in noncommutative differential geometry studied recently by Mesland,... 
MATHEMATICS | Interpolation | Complex symmetric operator | Operator algebras | Involution | Ideal | PROJECTIONS | Accretive operator | PEAK INTERPOLATION | Hereditary subalgebra
Journal Article
2017, Abel Symposia, ISBN 3319392840, Volume 12, 350
Like the first Abel Symposium, held in 2004, the Abel Symposium 2015 focused on operator algebras. It is interesting to see the remarkable advances that have... 
K-theory | Mathematics | Functional Analysis | Dynamical Systems and Ergodic Theory | Mathematical Physics | K-Theory
eBook
Transactions of the American Mathematical Society, ISSN 0002-9947, 10/2015, Volume 367, Issue 10, pp. 7029 - 7059
Let G is completely isomorphic to an operator algebra will be investigated in this paper. We will demonstrate that the dimension of the group plays an... 
Compact connected Lie groups | Operator algebras | Weighted Fourier algebras | Littlewood multipliers | MATHEMATICS | compact connected Lie groups | REPRESENTATIONS | SCHUR MULTIPLIERS | AMENABILITY | operator algebras
Journal Article
Duke Mathematical Journal, ISSN 0012-7094, 2016, Volume 165, Issue 12, pp. 2391 - 2406
Suppose that H is a complex Hilbert space and that 2(H) denotes the bounded linear operators on H. We show that every abelian, amenable operator algebra is... 
MATHEMATICS | REPRESENTATIONS | BANACH-ALGEBRAS
Journal Article
Journal of Functional Analysis, ISSN 0022-1236, 10/2019, Volume 277, Issue 8, pp. 2572 - 2616
We study non-selfadjoint operator algebras that can be entirely understood via their finite-dimensional representations. In contrast with the elementary... 
Non-selfadjoint operator algebras | Residual finite-dimensionality | Tensor algebras | [formula omitted]-covers | covers | MATHEMATICS | MODULES | SPACES | C-ASTERISK-ALGEBRAS | C-covers | BOUNDARY REPRESENTATIONS | SUBALGEBRAS | SUBMODULES | Algebra
Journal Article
Communications in Mathematical Physics, ISSN 0010-3616, 08/2019, Volume 369, Issue 3, pp. 867 - 928
We introduce the natural (t, q)-deformation of the Q-system algebra in type A. The q-Whittaker limit gives the quantum Q-system algebra of Di Francesco and... 
PHYSICS, MATHEMATICAL | HALL ALGEBRA | Algebra
Journal Article
Proceedings of the American Mathematical Society, ISSN 0002-9939, 04/2017, Volume 145, Issue 4, pp. 1581 - 1592
We prove that ample groupoids with \sigma -compact unit spaces are equivalent if and only if they are stably isomorphic in an appropriate sense, and relate... 
Kakutani equivalence | Groupoid equivalence | Stable isomorphism | Leavitt path algebra | Stabilisation | Graph algebra | MATHEMATICS | MATHEMATICS, APPLIED | CUNTZ-KRIEGER ALGEBRAS | RINGS | STAR-ALGEBRAS | CLASSIFICATION | MORITA EQUIVALENCE | CSTAR-ALGEBRAS | TOPOLOGICAL MARKOV SHIFTS | ORBIT EQUIVALENCE
Journal Article
Proceedings of the American Mathematical Society, ISSN 0002-9939, 05/2016, Volume 144, Issue 5, pp. 2081 - 2091
For p\in [1,\infty )-operator algebras are not classifiable up to (complete) isomorphism using countable structures, such as K-theoretic data, as invariants.... 
Nonselfadjoint operator algebra | Borel complexity | Turbulence | operator algebra | UHF algebra | MATHEMATICS | nonselfadjoint operator algebra | INDUCTIVE LIMITS | MATHEMATICS, APPLIED | UNITARY | L-p-operator algebra | CLASSIFICATION | turbulence
Journal Article
2016, Springer Proceedings in Mathematics & Statistics, ISBN 9783319329000, Volume 160, 254
Presenting the collaborations of over thirtyinternational experts in the latest developments in pure andapplied mathematics, this volume serves as an anthology... 
Algebra | Commutative Rings and Algebras | Operator Theory | Mathematics | Non-associative Rings and Algebras
eBook
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