Expanders, exact crossed products, and the Baum-Connes conjecture

21 Apr 2015  ·  Baum Paul, Guentner Erik, Willett Rufus ·

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. read more

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K-Theory and Homology Group Theory Metric Geometry Operator Algebras Representation Theory