Abstract.
For T an abelian compact Lie group, we give a description of T-equivariant K-theory with complex coefficients in terms of equivariant cohomology. In the appendix we give applications of this by extending results of Chang-Skjelbred and Goresky-Kottwitz-MacPherson from equivariant cohomology to equivariant K-theory.
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Received: 9 October 2001; in final form: 18 March 2002 / Published online: 14 February 2003
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ID="*" with an appendix by Allen Knutson(University of California at Berkeley CA 94720, USA (e-mail: allenk@math.berkeley.edu)) and Ioanid Rosu
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Rosu, I. Equivariant K-theory and equivariant cohomology. Math Z 243, 423–448 (2003). https://doi.org/10.1007/s00209-002-0447-1
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DOI: https://doi.org/10.1007/s00209-002-0447-1