scholarly journals Trace Invariant and Cyclic Cohomology of Twisted Group C*-Algebras

1995 ◽  
Vol 130 (2) ◽  
pp. 283-292 ◽  
Author(s):  
R.H. Ji
Keyword(s):  
Cyclic Cohomology ◽  
C Algebras ◽  
Twisted Group

scholarly journals Homogeneous C*-algebras whose spectra are tori

1985 ◽  
Vol 38 (1) ◽  
pp. 9-39 ◽  
Author(s):  
Shaun Disney ◽  
Iain Raeburn
Keyword(s):  
Isomorphism Class ◽  
Homotopy Theory ◽  
Transformation Group ◽  
Crossed Products ◽  
C Algebras ◽  
Isomorphism Classes ◽  
Twisted Group

AbstractBy a theorem of Fell and Tomiyama-Takesaki, an N-homogeneous C*-algebra with spectrum X has the form Γ(E) for some bundle E over X with fibre MN(C), and its isomorphism class is determined by that of E and its pull-backs f*E along homeomorphisms f of X. We describe the homogeneous C*-algebras with spectrum T2 or T3 by classifying the MN-bundles over Tk using elementary homotopy theory. We then use our results to determine the isomorphism classes of a variety of transformation group C*-algebras, twisted group C*-algebras and more general crossed products.

scholarly journals On the Structure of Twisted Group C ∗ -Algebras

1992 ◽  
Vol 334 (2) ◽  
pp. 685 ◽  
Author(s):  
Judith A. Packer ◽  
Iain Raeburn
Keyword(s):  
C Algebras ◽  
Twisted Group

scholarly journals Gabor duality theory for Morita equivalent C∗-algebras

2020 ◽  
Vol 31 (10) ◽  
pp. 2050073 ◽  
Author(s):  
Are Austad ◽  
Mads S. Jakobsen ◽  
Franz Luef
Keyword(s):  
Duality Theory ◽  
Morita Equivalence ◽  
Gabor Frames ◽  
Duality Principle ◽  
Gabor Analysis ◽  
Matrix Algebras ◽  
C Algebras ◽  
Morita Equivalent ◽  
Twisted Group ◽  
Density Theorems

The duality principle for Gabor frames is one of the pillars of Gabor analysis. We establish a far-reaching generalization to Morita equivalence bimodules with some extra properties. For certain twisted group [Formula: see text]-algebras, the reformulation of the duality principle to the setting of Morita equivalence bimodules reduces to the well-known Gabor duality principle by localizing with respect to a trace. We may lift all results at the module level to matrix algebras and matrix modules, and in doing so, it is natural to introduce [Formula: see text]-matrix Gabor frames, which generalize multi-window super Gabor frames. We are also able to establish density theorems for module frames on equivalence bimodules, and these localize to density theorems for [Formula: see text]-matrix Gabor frames.

Twisted Group C*-Algebras as Compact Quantum Metric Spaces

2016 ◽  
Vol 71 (3-4) ◽  
pp. 911-931 ◽  
Author(s):  
Botao Long ◽  
Wei Wu
Keyword(s):  
Metric Spaces ◽  
C Algebras ◽  
Twisted Group

scholarly journals Primeness and Primitivity Conditions for Twisted Group $C^*$-Algebras

2014 ◽  
Vol 114 (2) ◽  
pp. 299 ◽  
Author(s):  
Tron Ånen Omland
Keyword(s):  
Discrete Group ◽  
Direct Products ◽  
Free Products ◽  
C Algebra ◽  
C Algebras ◽  
Twisted Group ◽  
Products Of Groups

For a multiplier (2-cocycle) $\sigma$ on a discrete group $G$ we give conditions for which the twisted group $C^*$-algebra associated with the pair $(G,\sigma)$ is prime or primitive. We also discuss how these conditions behave on direct products and free products of groups.

An Introduction to K-Theory for C*-Algebras

2000 ◽  
Author(s):  
M. Rørdam ◽  
F. Larsen ◽  
N. Laustsen
Keyword(s):  
C Algebras ◽  
K Theory
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