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Extension of C*—algebras with continuous trace

✍ Scribed by V. N. Nosov

Publisher: Springer US
Year: 1972
Tongue: English
Weight: 173 KB
Volume: 6
Category: Article
ISSN: 0016-2663
DOI: 10.1007/bf01077524

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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_