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arxiv: 1204.4259 · v2 · pith:DRN2YVS7new · submitted 2012-04-19 · 🧮 math.OA · math.GR

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

classification 🧮 math.OA math.GR
keywords conditionsgroupproductssigmatwistedalgebraalgebrasassociated
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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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