Exactness and SOAP of Crossed Products via Herz-Schur multipliers
Journal article, 2021

Given a C*-dynamical system (A,G,α), with G a discrete group, Schur A-multipliers and Herz–Schur (A,G,α)-multipliers are used to implement approximation properties, namely exactness and the strong operator approximation property (SOAP), of A⋊α,rG. The resulting characterisations of exactness and SOAP of A⋊α,rG generalise the corresponding statements for the reduced group C*-algebra.

Multipliers

Crossed product

Exactness

Author

Andrew McKee

University of Bialystok

Lyudmyla Turowska

University of Gothenburg

Chalmers, Mathematical Sciences, Analysis and Probability Theory

Published in

Journal of Mathematical Analysis and Applications

0022-247X (ISSN) 1096-0813 (eISSN)

Vol. 496 Issue 2 art. no 124812

Categorizing

Roots

Basic sciences

Subject Categories (SSIF 2011)

Mathematical Analysis

Identifiers

DOI

10.1016/j.jmaa.2020.124812

More information

Latest update

12/29/2020