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Twisted equivariant K ‐theory with complex coefficients
Author(s) -
Freed Daniel S.,
Hopkins Michael J.,
Teleman Constantin
Publication year - 2008
Publication title -
journal of topology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.447
H-Index - 31
eISSN - 1753-8424
pISSN - 1753-8416
DOI - 10.1112/jtopol/jtm001
Subject(s) - equivariant map , mathematics , pure mathematics , lie group , fixed point , character (mathematics) , context (archaeology) , action (physics) , algebra over a field , general linear group , group (periodic table) , lie algebra , space (punctuation) , physics , mathematical analysis , symmetric group , geometry , linguistics , quantum mechanics , geography , philosophy , archaeology
Using a global version of the equivariant Chern character, we describe the complexified twisted equivariant K ‐theory of a space with a compact Lie group action in terms of fixed‐point data. We apply this to the case of a compact group acting on itself by conjugation and relate the result to the Verlinde algebra and to the Kac numerator at q =1. Verlinde's formula is also discussed in this context.