An Equivariant Brauer Group and Actions of Groups onC*-Algebras
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TLDR
In this article, the Equivariant Brauer Group (BrG(T) of Morita equivalence classes of trans-formation groups with spectrum T is defined, and a detailed analysis of the structure of BrGT is given in terms of the Moore cohomology of the group G and the integral coherence of the space T.About:
This article is published in Journal of Functional Analysis.The article was published on 1997-05-01 and is currently open access. It has received 57 citations till now. The article focuses on the topics: Brauer group & Equivariant map.read more
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Crossed products of C*-algebras
TL;DR: This book is intended primarily for graduate students who wish to begin research using crossed product C ∗ -algebras and is now essentially a final draft, and the final version will appear in the Surveys and Monograph series of the American Mathematical Society.
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Nonassociative Tori and Applications to T-duality
TL;DR: In this article, the duality properties of twisted crossed product algebra are studied in detail, and applied to T-duality in Type II string theory to obtain the Tdual of a general principal torus bundle with general H-flux, which is in general a nonassociative, noncommutative, algebra.
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T-Duality for Torus Bundles with H-Fluxes via Noncommutative Topology
TL;DR: In this article, it was shown that every principal T2-bundle with H-flux does indeed have a T-dual, but in the missing cases (which we characterize in this paper) it is a non-classical and is a bundle of non-commutative tori.
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The structure of crossed products of irrational rotation algebras by finite subgroups of SL2(ℤ)
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T-duality for principal torus bundles and dimensionally reduced Gysin sequences
TL;DR: In particular, the authors showed that the T-dual of a principal torus bundle with nontrivial H-flux is a continuous field of noncommutative, nonassociative tori.
References
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Graduate Texts in Mathematics
Rajendra Bhatia,Glen Bredon,Wolfgang Walter,Joseph J. Rotman,M. Ram Murty,Jane Gilman,Peter Walters,Martin Golubitsky,Ioannis Karatzas,Henri Cohen,Raoul Bott,Gaisi Takeuti,Béla Bollobás,John M. Lee,Jiří Matoušek,Saunders Mac Lane,John L. Kelley,B. A. Dubrovin,Tom M. Apostol,John Stillwell,William Arveson +20 more
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Sur quelques points d'algèbre homologique, I
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On the Existence of Slices for Actions of Non-Compact Lie Groups
TL;DR: The Cartan G-space as mentioned in this paper is a generalization of the Cartan topological group to compact Lie groups, and it is defined by Cartan's basic axiom PF for principal bundles in the Seminaire H. Cartan of 1948-49.