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

Tron Ånen Omland

Abstract


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.

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DOI: http://dx.doi.org/10.7146/math.scand.a-17113

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ISSN 0025-5521 (print) ISSN 1903-1807 (online)

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