Localisation and colocalisation of KK-theory at sets of primes
Abstract
Given a set of prime numbers S, we localise equivariant bivariant Kasparov theory at S and compare this localisation with Kasparov theory by an exact sequence. More precisely, we define the localisation at S to be KKG(A,B) tensored with the ring of S-integers Z[S-1]. We study the properties of the resulting variants of Kasparov theory.
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