The K-theory of maximal and reduced Roe algebras for Hecke pairs with equivariant coarse embeddings
Abstract
In this paper, we generalize the Dirac-dual-Dirac method to Hecke pairs with equivariant coarse embeddings and establish the K-theoretic isomorphisms between the maximal and reduced equivariant Roe algebras. We also extend these results to prove the Baum--Connes conjecture in this context.
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