A Fourier-Mukai Approach to the K-theory of Compact Lie Groups (1406.3993v1)

Published 16 Jun 2014 in math.KT and math.AT

Abstract: Let $G$ be a compact, connected, simply-connected Lie group. We use the Fourier-Mukai transform in twisted $K$-theory to give a new proof of the ring structure of the $K$-theory of $G$.