Restriction maps in equivariant KK-theory

Uuye, Otgonbayar 2012. Restriction maps in equivariant KK-theory. Journal of K-theory: K-theory and its Applications to Algebra, Geometry, and Topology 9 (1) , pp. 45-55. 10.1017/is011010005jkt168

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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 ≤ G finite cyclic, then KKG*(A, B) = 0.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Mathematics
Subjects:	Q Science > QA Mathematics
Uncontrolled Keywords:	K-theory; KK-theory
Publisher:	Cambridge University Press
ISSN:	1865-2433
Last Modified:	19 May 2023 11:00
URI:	https://orca.cardiff.ac.uk/id/eprint/34001

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