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

By P. Baum, E. Guentner, Rufus Willett. 2013

74 citations recorded by the source corpus.

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.

Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/9748bb03ab8cc01b2186233119ab21aaeb0f121d

Citations in the corpus

• Exotic crossed products and the Baum–Connes conjecture (2014, unknown): “Using E-theory, Baum, Guentner and Willett show that all known counter-examples to the conjecture disappear if we replace reduced crossed products by E-crossed products in the formulation of the conjecture.”