Name: Restriction maps in equivariant KK -theory
Creator: Otgonbayar Uuye
Keywords: 19K35 (Primary) 46L80 (Secondary), Mathematics - K-Theory and Homology, Mathematics - Operator Algebras, FOS: Mathematics, K-Theory and Homology (math.KT), 0101 mathematics, QA, Operator Algebras (math.OA), 01 natural sciences

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 12 Oct 2011Embargo end date: 01 Jan 2011 English Publisher:Cambridge University Press (CUP)Journal:Journal of K-Theory, volume 9, pages 45-55 (issn: 1865-2433, eissn: 1865-5394,

Authors: Otgonbayar Uuye;

doi: 10.1017/is011010005jkt168 , 10.48550/arxiv.1101.1859

arXiv: http://arxiv.org/abs/1101.1859

Restriction maps in equivariant KK-theory

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Abstract

AbstractWe 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.

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University of Copenhagen
Denmark

Keywords

19K35 (Primary) 46L80 (Secondary), Mathematics - K-Theory and Homology, Mathematics - Operator Algebras, FOS: Mathematics, K-Theory and Homology (math.KT), QA, Operator Algebras (math.OA)

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