Title: Equivariant K-theory and Equivariant Cohomology
Author: Ioanid Rosu,
with an appendix by Allen Knutson and Ioanid Rosu
AMS Classification numbers: 55N91
xxx LANL archive ID number: AT/9912088
Addresses and emails of Authors:
Ioanid Rosu, M.I.T., Cambridge, MA.
ioanid@math.mit.edu
Allen Knutson, University of California at Berkeley, CA
allenk@math.berkeley.edu
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.