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arxiv: 1612.08529 · v1 · pith:SFLLDUPMnew · submitted 2016-12-27 · 🧮 math.OA

Actions of amenable groups and crossed products of Z-absorbing C*-algebras

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keywords actionsalgebrasamenablecrossedgroupstracialz-absorbingabsorb
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We study actions of countable discrete amenable groups on unital separable simple nuclear Z-absorbing C*-algebras. Under a certain assumption on tracial states, which is automatically satisfied in the case of a unique tracial state, the crossed product is shown to absorb the Jiang-Su algebra Z tensorially.

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