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

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.

15 pages

References in corpus (1)

• Trace spaces of simple nuclear C*-algebras with finite-dimensional extreme boundary

Cited by in corpus (2)

• Strongly outer actions of amenable groups on $\mathcal{Z}$-stable nuclear $C^{\ast }$-algebras
• Stable rank for crossed products by actions of finite groups on C*-algebras