Open Access
Fall and Winter 2016 Constructions of exotic group $C$∗-algebras
Matthew Wiersma
Illinois J. Math. 60(3-4): 655-667 (Fall and Winter 2016). DOI: 10.1215/ijm/1506067285

Abstract

Let $\Gamma$ be a discrete group. When $\Gamma$ is nonamenable, the reduced and full group $C$∗-algebras differ and it is generally believed that there should be many intermediate $C$∗-algebras, however few examples are known. In this paper, we give new constructions and compare existing constructions of intermediate group $C$∗-algebras for both generic and specific groups $\Gamma$.

Citation

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Matthew Wiersma. "Constructions of exotic group $C$∗-algebras." Illinois J. Math. 60 (3-4) 655 - 667, Fall and Winter 2016. https://doi.org/10.1215/ijm/1506067285

Information

Received: 3 February 2015; Revised: 19 April 2017; Published: Fall and Winter 2016
First available in Project Euclid: 22 September 2017

zbMATH: 1373.22014
MathSciNet: MR3705441
Digital Object Identifier: 10.1215/ijm/1506067285

Subjects:
Primary: 22D10 , 22D25
Secondary: 43A35 , 46L05

Rights: Copyright © 2016 University of Illinois at Urbana-Champaign

Vol.60 • No. 3-4 • Fall and Winter 2016
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