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arXiv · 1612.08529

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

Yasuhiko Sato
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Abstract

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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Yasuhiko Sato. 2016-12-27. Actions of amenable groups and crossed products of Z-absorbing C*-algebras. https://arxiv.org/abs/1612.08529

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