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

✍ Scribed by R.H. Ji


Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
371 KB
Volume
130
Category
Article
ISSN
0022-1236

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✦ Synopsis


By the method of cyclic cohomology we prove that all tracial states on a twisted group (C^{})-algebra (C^{}(G ; \sigma)), where (G) is a torsion free discrete group of polynomial growth and (\sigma) is a 2-cocycle on (G) with values in the unit circle group, induce the same map from (K_{0}\left(C^{*}(G ; \sigma)\right)) into (\mathbb{R}). 1995 Academic Press. Inc.