On the Twisted K-Homology of Simple Lie Groups

Abstract

We prove that the twisted K-homology of a simply connected simple Lie group G of rank n is an exterior algebra on n-1 generators tensor a cyclic group. We give a detailed description of the order of this cyclic group in terms of the dimensions of irreducible representations of G and show that the congruences determining this cyclic order lift along the twisted index map to relations in the twisted Spin-c bordism group of G.

38 pages, 2 figures. Added table of contents, remarks in sections 1.2 and 4.1.2

References in corpus (2)

• Twisted K-theory and loop group representations
• Multiplicative structures on homotopy spectral sequences II

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