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Primeness and primitivity conditions for twisted group $C^*$-algebras

Published 19 Apr 2012 in math.OA and math.GR | (1204.4259v2)

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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