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Restriction maps in equivariant KK-theory

Published online by Cambridge University Press:  12 October 2011

Otgonbayar Uuye
Otgonbayar Uuye
Affiliation:
Department of Mathematical Sciences, University of Copenhagen, Universitetsparken 5, DK-2100 Copenhagen E, Denmarkotogo@math.ku.dk
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Abstract

We extend McClure's results regarding restriction maps in equivariant K-theory to bivariant K-theory:

Let G be a compact Lie group and A and B be G-C*-algebras. Suppose that KKHn(A, B) is a finitely generated R(G)-module for every H ≤ G closed and n ∈ ℤ. Then, if KKF*(A, B) = 0 for all F ≤ Gfinite cyclic, then KKG*(A, B) = 0.

Keywords

K-theoryKK-theory
Type
Research Article
Information
Journal of K-Theory , Volume 9 , Issue 1 , February 2012 , pp. 45 - 55
Copyright
Copyright © ISOPP 2011

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