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Equivariant K-theory of compact Lie groups with involution

Abstract
Abstract

For a compact simply connected simple Lie group G with an involution α, we compute the G ⋊ ℤ/2-equivariant K-theory of G where G acts by conjugation and ℤ/2 acts either by α or by gα(g)−1. We also give a representation-theoretic interpretation of those groups, as well as of KG(G).

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Corresponding author
Department of Mathematics, Wayne State University, 1150 Faculty/Administration Bldg., 656 W. Kirby, Detroit, MI 48202, U.S.A.po@math.wayne.edu
Department of Mathematics, University of Michigan, 530 Church Street, Ann Arbor, MI 28109-1043, U.S.A.ikriz@umich.edu
Mathematical Institute, MFF UK, Sokolovská 83, 180 00 praha 8, Czech Republicsomberg@karlin.mff.cuni.cz
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This list contains references from the content that can be linked to their source. For a full set of references and notes please see the PDF or HTML where available.

2. J.-L. Brylinski , B. Zhang : Equivariant K-theory of compact connected Lie groups, K-Theory 20(1) (2000), 2336.

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17. G. Segal : The representation-ring of a compact Lie group, Publ. Math. I.H.E.S. 34 (1968), 113128.

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Journal of K-Theory
  • ISSN: 1865-2433
  • EISSN: 1865-5394
  • URL: /core/journals/journal-of-k-theory
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