1998, Mathematical surveys and monographs, ISBN 0821808605, Volume 60., xiv, 327

Book

Mathematische Zeitschrift, ISSN 0025-5874, 2/2017, Volume 285, Issue 1, pp. 121 - 141

We will study circle actions on Cuntz–Krieger algebras trivially acting on its canonical maximal abelian $$C^*$$ C ∗ -subalgebras from the view points of...

Mathematics, general | Mathematics | MATHEMATICS | STABLE ISOMORPHISM | CSTAR-ALGEBRAS | MORITA EQUIVALENCE | HOMOLOGY | C-ASTERISK-ALGEBRAS | Algebra | Equivalence | Markov processes | Continuity (mathematics)

Mathematics, general | Mathematics | MATHEMATICS | STABLE ISOMORPHISM | CSTAR-ALGEBRAS | MORITA EQUIVALENCE | HOMOLOGY | C-ASTERISK-ALGEBRAS | Algebra | Equivalence | Markov processes | Continuity (mathematics)

Journal Article

Journal of Algebra, ISSN 0021-8693, 09/2019, Volume 534, pp. 228 - 244

Let be a field and let be a left noetherian -algebra. The algebra satisfies the Dixmier-Moeglin equivalence if the annihilators of irreducible representations...

Morita equivalence | Dixmier-Moeglin equivalence | Prime spectrum | Tensor products | Primitive ideals | Idempotents | MATHEMATICS | ALGEBRAS | PRIMITIVE-IDEALS

Morita equivalence | Dixmier-Moeglin equivalence | Prime spectrum | Tensor products | Primitive ideals | Idempotents | MATHEMATICS | ALGEBRAS | PRIMITIVE-IDEALS

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 | Mathematics - Operator Algebras

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 | Mathematics - Operator Algebras

Journal Article

Journal of the Australian Mathematical Society, ISSN 1446-7887, 08/2018, Volume 105, Issue 1, pp. 103 - 144

We shall introduce the notions of strong Morita equivalence for unital inclusions of unital C*-algebras and conditional expectations from an equivalence...

algebras | conditional expectations | inclusions of C | equivalence bimodules | strong Morita equivalence | MATHEMATICS | INDEX | inclusions of C-algebras

algebras | conditional expectations | inclusions of C | equivalence bimodules | strong Morita equivalence | MATHEMATICS | INDEX | inclusions of C-algebras

Journal Article

Journal of Algebra, ISSN 0021-8693, 05/2018, Volume 502, pp. 45 - 48

Let and be rings and let be an – -bimodule that is finitely generated and projective in -mod and in mod- . Also let be an ideal of and let be an ideal of such...

Morita equivalences | Quotient algebras | MATHEMATICS

Morita equivalences | Quotient algebras | MATHEMATICS

Journal Article

2000, Memoirs of the American Mathematical Society, ISBN 082181916X, Volume no. 681., viii, 94

Book

International Journal of Algebra and Computation, ISSN 0218-1967, 06/2019, Volume 29, Issue 4, pp. 723 - 741

A semigroup is called factorizable if each of its elements can be written as a product. We study equivalences and adjunctions between various categories of...

firm semigroup | Morita equivalence | Factorizable semigroup | strong Morita equivalence | firm act | MATHEMATICS | Equivalence

firm semigroup | Morita equivalence | Factorizable semigroup | strong Morita equivalence | firm act | MATHEMATICS | Equivalence

Journal Article

Geometric and Functional Analysis, ISSN 1016-443X, 6/2016, Volume 26, Issue 3, pp. 818 - 873

The curvature of the noncommutative torus $${T^2_\theta}$$ T θ 2 ( $${\theta \in \mathbb{R}{\setminus}\mathbb{Q}}$$ θ ∈ R \ Q ) endowed with a noncommutative...

Heisenberg module | Imprimitivity bimodule | 58B34 | Mathematics | 58J35 | Noncommutative two tori | Heat expansion | Morita equivalence | Pseudodifferential calculus | Analysis | Secondary 47G30 | 16D90 | Modular curvature | Primary 46L87 | 81R60 | MATHEMATICS | NONCOMMUTATIVE 2 TORUS | C-STAR-ALGEBRAS | CROSSED-PRODUCTS | PSEUDODIFFERENTIAL CALCULUS | 2-TORI | Algebra | Operators (mathematics) | Toruses | Equivalence | Mathematical analysis | Modules | Differential equations | Calculus | Curvature

Heisenberg module | Imprimitivity bimodule | 58B34 | Mathematics | 58J35 | Noncommutative two tori | Heat expansion | Morita equivalence | Pseudodifferential calculus | Analysis | Secondary 47G30 | 16D90 | Modular curvature | Primary 46L87 | 81R60 | MATHEMATICS | NONCOMMUTATIVE 2 TORUS | C-STAR-ALGEBRAS | CROSSED-PRODUCTS | PSEUDODIFFERENTIAL CALCULUS | 2-TORI | Algebra | Operators (mathematics) | Toruses | Equivalence | Mathematical analysis | Modules | Differential equations | Calculus | Curvature

Journal Article

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 08/2017, Volume 452, Issue 1, pp. 495 - 504

Mutual embeddability is an equivalence relation in -algebras. In this paper, we characterize the classification of rotation algebras in the sense of mutual...

Embedding | Topological semi-conjugacies | Rotation algebras | Equivalence relations | MATHEMATICS | MATHEMATICS, APPLIED | CLASSIFICATION | C-STAR-ALGEBRAS | CANCELLATION | STRONG MORITA EQUIVALENCE | Algebra

Embedding | Topological semi-conjugacies | Rotation algebras | Equivalence relations | MATHEMATICS | MATHEMATICS, APPLIED | CLASSIFICATION | C-STAR-ALGEBRAS | CANCELLATION | STRONG MORITA EQUIVALENCE | Algebra

Journal Article

Bulletin of the London Mathematical Society, ISSN 0024-6093, 12/2018, Volume 50, Issue 6, pp. 945 - 985

Derived categories and equivalences between them are the pièce de résistance of modern homological algebra. They are widely used in many branches of...

20C20 (primary) | 19D50 | 16G10 | 18E30 | MATHEMATICS | MORITA TYPE | TILTING COMPLEXES | MODULES | ENDOMORPHISM ALGEBRAS | EXTENSIONS | K-THEORY | TRIANGULATED CATEGORIES | STABLE EQUIVALENCES | CONJECTURE | RECOLLEMENTS

20C20 (primary) | 19D50 | 16G10 | 18E30 | MATHEMATICS | MORITA TYPE | TILTING COMPLEXES | MODULES | ENDOMORPHISM ALGEBRAS | EXTENSIONS | K-THEORY | TRIANGULATED CATEGORIES | STABLE EQUIVALENCES | CONJECTURE | RECOLLEMENTS

Journal Article

COMPLEX ANALYSIS AND OPERATOR THEORY, ISSN 1661-8254, 07/2019, Volume 13, Issue 5, pp. 2411 - 2441

Muhly and Solel developed a notion of Morita equivalence for C-correspondences, which they used to show that if two C-correspondences E and F are Morita...

W-correspondence | MATHEMATICS | Morita equivalence | MATHEMATICS, APPLIED | Hardy algebras | OPERATOR | INDUCED REPRESENTATIONS | Graph correspondence | Algebra | H infinity | Tensors | Equivalence | Mathematical analysis | Mathematics - Operator Algebras

W-correspondence | MATHEMATICS | Morita equivalence | MATHEMATICS, APPLIED | Hardy algebras | OPERATOR | INDUCED REPRESENTATIONS | Graph correspondence | Algebra | H infinity | Tensors | Equivalence | Mathematical analysis | Mathematics - Operator Algebras

Journal Article

Journal of Algebra, ISSN 0021-8693, 07/2018, Volume 505, pp. 247 - 270

We define firm semigroups and firm acts as non-additive analogues of firm rings and firm modules. Using the categories of firm acts we develop Morita theory...

Morita equivalence | Unitary act | Adjoint functors | Localisation | Firm semigroup | Firm act | Strong Morita equivalence | Colocalisation | MATHEMATICS | CONTEXTS | INVERSE-SEMIGROUPS | RINGS

Morita equivalence | Unitary act | Adjoint functors | Localisation | Firm semigroup | Firm act | Strong Morita equivalence | Colocalisation | MATHEMATICS | CONTEXTS | INVERSE-SEMIGROUPS | RINGS

Journal Article

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 02/2017, Volume 446, Issue 2, pp. 1632 - 1653

We introduce and examine the notions of strong Δ-equivalence and strong TRO equivalence for operator spaces. We show that they behave in an analogous way to...

C-envelope | Operator spaces | TRO envelope | Ternary ring of operators | Morita contexts for operator algebras | MATHEMATICS | MATHEMATICS, APPLIED | REPRESENTATIONS | STABLE ISOMORPHISM | CSTAR-ALGEBRAS | BOUNDARY | Algebra

C-envelope | Operator spaces | TRO envelope | Ternary ring of operators | Morita contexts for operator algebras | MATHEMATICS | MATHEMATICS, APPLIED | REPRESENTATIONS | STABLE ISOMORPHISM | CSTAR-ALGEBRAS | BOUNDARY | Algebra

Journal Article

Pacific Journal of Mathematics, ISSN 0030-8730, 2017, Volume 290, Issue 2, pp. 481 - 510

Let H and L be two Hopf algebras such that their comodule categories are monoidally equivalent. We prove that if H is a twisted Calabi-Yau (CY) Hopf algebra,...

Cogroupoid | Morita-Takeuchi equivalence | Calabi-Yau algebra | MATHEMATICS | DIMENSION 2 | HOPF-ALGEBRAS | EXTENSIONS | QUANTUM GROUPS | cogroupoid | RINGS | NONDEGENERATE BILINEAR FORM | DUALIZING COMPLEXES

Cogroupoid | Morita-Takeuchi equivalence | Calabi-Yau algebra | MATHEMATICS | DIMENSION 2 | HOPF-ALGEBRAS | EXTENSIONS | QUANTUM GROUPS | cogroupoid | RINGS | NONDEGENERATE BILINEAR FORM | DUALIZING COMPLEXES

Journal Article

Journal of Algebra and its Applications, ISSN 0219-4988, 02/2018, Volume 17, Issue 2

The notion of context-equivalent algebras introduced by Muller generalizes Moritaequivalence. It is a coarser equivalence in the class of algebras but it still...

finite rank and adjointable operators | Morita equivalence | commutative algebras | MATHEMATICS | MATHEMATICS, APPLIED | RINGS

finite rank and adjointable operators | Morita equivalence | commutative algebras | MATHEMATICS | MATHEMATICS, APPLIED | RINGS

Journal Article

Journal of Algebra and its Applications, ISSN 0219-4988, 01/2019, Volume 18, Issue 1

In this paper, we describe the Galois objects for semisimple Hopf algebras of dimension pqr, where p, q, r are distinct primes. We show that each of these Hopf...

Categorical Morita equivalence | Group-theoretical fusion category | Monoidal Morita equivalence | MATHEMATICS | MATHEMATICS, APPLIED | monoidal Morita equivalence | FUNCTORS | MODULE CATEGORIES | categorical Morita equivalence

Categorical Morita equivalence | Group-theoretical fusion category | Monoidal Morita equivalence | MATHEMATICS | MATHEMATICS, APPLIED | monoidal Morita equivalence | FUNCTORS | MODULE CATEGORIES | categorical Morita equivalence

Journal Article

JOURNAL OF OPERATOR THEORY, ISSN 0379-4024, 2019, Volume 81, Issue 2, pp. 273 - 319

We give a notion of equivalence for Fell bundles over groups, not necessarily saturated nor separable. The equivalence between two Fell bundles is implemented...

MATHEMATICS | Morita equivalence | TERNARY RINGS | Fell bundles | C-ASTERISK-ALGEBRAS | CROSSED-PRODUCTS

MATHEMATICS | Morita equivalence | TERNARY RINGS | Fell bundles | C-ASTERISK-ALGEBRAS | CROSSED-PRODUCTS

Journal Article

Annals of Global Analysis and Geometry, ISSN 0232-704X, 2/2019, Volume 55, Issue 1, pp. 99 - 132

We introduce a notion of equivalence for singular foliations—understood as suitable families of vector fields—that preserves their transverse geometry....

Geometry | Morita equivalence | Lie groupoid | Mathematical Physics | Analysis | Global Analysis and Analysis on Manifolds | Mathematics | Differential Geometry | Singular foliation | LIE GROUPOIDS | MATHEMATICS | SMOOTHNESS | HOLONOMY | Equivalence | Fields (mathematics)

Geometry | Morita equivalence | Lie groupoid | Mathematical Physics | Analysis | Global Analysis and Analysis on Manifolds | Mathematics | Differential Geometry | Singular foliation | LIE GROUPOIDS | MATHEMATICS | SMOOTHNESS | HOLONOMY | Equivalence | Fields (mathematics)

Journal Article

Journal of Algebra, ISSN 0021-8693, 04/2016, Volume 452, pp. 66 - 93

We show that singular equivalences of Morita type with level between finite-dimensional Gorenstein algebras over a field preserve the condition.

Singular equivalences | Hochschild cohomology | Finite generation condition | MATHEMATICS | MORITA TYPE | ALGEBRAS | COHOMOLOGY | SUPPORT VARIETIES | STABLE EQUIVALENCES | Algebra

Singular equivalences | Hochschild cohomology | Finite generation condition | MATHEMATICS | MORITA TYPE | ALGEBRAS | COHOMOLOGY | SUPPORT VARIETIES | STABLE EQUIVALENCES | Algebra

Journal Article

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