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arxiv: 1003.0278 · v1 · pith:KOOCH5ZCnew · submitted 2010-03-01 · 🧮 math.KT

Localisation and colocalisation of KK-theory at sets of primes

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keywords kasparovlocalisationtheorybivariantcolocalisationcomparedefineequivariant
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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 KK^G(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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