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Equivariant K-theory of compact Lie groups with involution


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).

Corresponding author
Department of Mathematics, Wayne State University, 1150 Faculty/Administration Bldg., 656 W. Kirby, Detroit, MI 48202,
Department of Mathematics, University of Michigan, 530 Church Street, Ann Arbor, MI 28109-1043,
Mathematical Institute, MFF UK, Sokolovská 83, 180 00 praha 8, Czech
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2. J.-L. Brylinski , B. Zhang : Equivariant K-theory of compact connected Lie groups, K-Theory 20(1) (2000), 2336.

4. A. Dold , R. Thom : Quasifaserungen und unendliche symmetrische produkte, Ann. of Math. 67(2) (1958), 239281.

6. D. Freed , M. Hopkins , C. Teleman : Loop Groups and twisted K-theory I, J. Topology 4 (2011), 737798.

8. J.P.C. Greenlees , J.P. May : Completions in algebra and topology, Handbook of Algebraic Topology (ed. I. M. James ), North-Holland, 1995, 255276.

10. S. Helgason : Differential Geometry, Lie Groups and Symmetric Spaces, Grad. Studies in Math. 34, reprinted with corrections, Amer. Math. Soc.2001.

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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