Kirchberg-Wassermann exactness vs exactness: reduction to the unimodular totally disconnected case

Cave, C. and Zacharias, J. (2018) Kirchberg-Wassermann exactness vs exactness: reduction to the unimodular totally disconnected case. Münster Journal of Mathematics, 11, pp. 217-224. (doi: 10.17879/87109577544)

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Abstract

We show that in order to prove that all locally compact groups with exact reduced group C∗-algebras are exact in the dynamical sense (i.e., KW-exact), it suffices to show this for totally disconnected locally compact groups.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Zacharias, Professor Joachim
Authors: Cave, C., and Zacharias, J.
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:Münster Journal of Mathematics
Publisher:University of Münster
ISSN:1867-5778
ISSN (Online):1867-5786
Published Online:03 August 2018
Copyright Holders:Copyright © 2018 Münster Journal of Mathematics
First Published:First published in Münster Journal of Mathematics 11: 217-224
Publisher Policy:Reproduced in accordance with the publisher copyright policy

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Project CodeAward NoProject NamePrincipal InvestigatorFunder's NameFunder RefLead Dept
626331The Cuntz Semigroup and the Fine Stucture of Nuclear C*-AlgebrasJoachim ZachariasEngineering and Physical Sciences Research Council (EPSRC)EP/I019227/2M&S - MATHEMATICS
3013480von Neumann techniques in C*- algebras and dynamicsStuart WhiteEngineering and Physical Sciences Research Council (EPSRC)EP/R025061/1M&S - Mathematics