Author:
Buss Alcides,Echterhoff Siegfried,Willett Rufus
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.
Funder
Deutsche Forschungsgemeinschaft
National Science Foundation
Subject
Applied Mathematics,General Mathematics
Reference72 articles.
1. Equivariant triviality theorems for Hilbert C*C^{*}-modules;Proc. Amer. Math. Soc.,1984
2. Lp{L^{p}}-Fourier and Fourier–Stieltjes algebras for locally compact groups;Preprint,2014
3. Crossed products and Morita equivalence;Proc. Lond. Math. Soc. (3),1984
4. Amenable groups with very poor compression into Lebesgue spaces;Duke Math. J.,2011
Cited by
43 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献