Premium
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.
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom