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Exotic crossed products and the Baum–Connes conjecture

Exotic crossed products and the Baum–Connes conjecture

Abstract We study general properties of exotic crossed-product functors and characterise those which extend to functors on equivariant <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:msup> <m:mi>C</m:mi> <m:mo>*</m:mo> </m:msup> </m:math> C^{*} -algebra categories based on correspondences. We show that every such functor allows the construction of a descent in K K -theory and we use …