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VOL. 80 | 2019 Actions of amenable groups and crossed products of $\mathcal{Z}$-absorbing $\mathrm{C}^*$-algebras
Yasuhiko Sato

Editor(s) Masaki Izumi, Yasuyuki Kawahigashi, Motoko Kotani, Hiroki Matui, Narutaka Ozawa

Abstract

We study actions of countable discrete amenable groups on unital separable simple nuclear $\mathcal{Z}$-absorbing $\mathrm{C}^*$-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 $\mathcal{Z}$ tensorially.

Information

Published: 1 January 2019
First available in Project Euclid: 21 August 2019

zbMATH: 07116429
MathSciNet: MR3966590

Digital Object Identifier: 10.2969/aspm/08010189

Subjects:
Primary: 46L06, 46L35, 46L40, 46L55

Rights: Copyright © 2019 Mathematical Society of Japan

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