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On the <i>K</i>-theory of the loop space of a Lie group

On the <i>K</i>-theory of the loop space of a Lie group

Let G be a simply connected, semi-simple, compact Lie group, let K * denote Z/2-graded, representable K -theory, and K * the corresponding homology theory. The K -theory of G and of its classifying space BG are well known, (8),(1). In contrast with ordinary cohomology, K *( G ) and …