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2016 Expanders, exact crossed products, and the Baum–Connes conjecture
Paul Baum, Erik Guentner, Rufus Willett
Ann. K-Theory 1(2): 155-208 (2016). DOI: 10.2140/akt.2016.1.155

Abstract

We reformulate the Baum–Connes conjecture with coefficients by introducing a new crossed product functor for C-algebras. All confirming examples for the original Baum–Connes conjecture remain confirming examples for the reformulated conjecture, and at present there are no known counterexamples to the reformulated conjecture. Moreover, some of the known expander-based counterexamples to the original Baum–Connes conjecture become confirming examples for our reformulated conjecture.

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Paul Baum. Erik Guentner. Rufus Willett. "Expanders, exact crossed products, and the Baum–Connes conjecture." Ann. K-Theory 1 (2) 155 - 208, 2016. https://doi.org/10.2140/akt.2016.1.155

Information

Received: 14 January 2015; Revised: 21 April 2015; Accepted: 14 May 2015; Published: 2016
First available in Project Euclid: 16 November 2017

zbMATH: 1331.46064
MathSciNet: MR3514939
Digital Object Identifier: 10.2140/akt.2016.1.155

Subjects:
Primary: 22D25, 46L80, 46L85, 58B34

Rights: Copyright © 2016 Mathematical Sciences Publishers

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