Work

Traces on reduced group C*-algebras

Year: 2017

Type: article

Abstract: In this short note we prove that the reduced group C*-algebra of a locally compact group admits a non-zero trace if and only if the amenable radical of the group is open. This completely answers a question raised by Forrest, Spronk and Wiersma.

Source: Bulletin of the London Mathematical Society

DOI: 10.1112/blms.12101

Authors: Matthew Kennedy, Sven Raum

Institutions: University of Waterloo, École Polytechnique Fédérale de Lausanne

Language: English

Topic: Advanced Operator Algebra Research

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: Natural Sciences and Engineering Research Council of Canada

Award: G5165888771