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Equivariant K-theory of compact Lie groups with involution

Published online by Cambridge University Press:  24 February 2014

Po Hu,
Igor Kriz and
Petr Somberg

Abstract

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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 g ↦ α(g)−1. We also give a representation-theoretic interpretation of those groups, as well as of KG(G).

Keywords

equivariant K-theorystable homotopy theorycompact Lie groupscompact symmetric spacesrepresentations of loop groups19L4755N1555P9153C35

Information

Type
Research Article
Information
Journal of K-Theory , Volume 13 , Issue 2 , April 2014, pp. 313 - 335
Copyright
Copyright © ISOPP 2014 

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