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arxiv: 1301.4585 · v1 · pith:TE2KYRCPnew · submitted 2013-01-19 · 🧮 math.OA

Crossed Products and MF algebras

classification 🧮 math.OA
keywords crossedalgebraalgebrasfinitelygeneratedproductactionalmost
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We prove that the crossed product AxG of a unital finitely generated MF algebra A by a discrete finitely generated amenable residually finite group G is an MF algebra, provided that the action is almost periodic. This generalizes a result of Hadwin and Shen. We also construct two examples of crossed product C*-algebras whose BDF Ext semigroups are not groups.

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