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• W2964156947 abstract "Abstract We study general properties of exotic crossed-product functors and characterise those which extend to functors on equivariant 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 this to show that all crossed products by correspondence functors of K -amenable groups are K K -equivalent. We also show that for second countable groups the minimal exact Morita compatible crossed-product functor used in the new formulation of the Baum–Connes conjecture by Baum, Guentner and Willett ([‘Expanders, exact crossed products, and the Baum–Connes conjecture’, preprint 2013]) extends to correspondences when restricted to separable G - C^{*} -algebras. It therefore allows a descent in K K -theory for separable systems." @default.
• W2964156947 created "2019-07-30" @default.
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• W2964156947 date "2018-07-01" @default.
• W2964156947 modified "2023-09-30" @default.
• W2964156947 title "Exotic crossed products and the Baum–Connes conjecture" @default.
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• W2964156947 doi "https://doi.org/10.1515/crelle-2015-0061" @default.
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