On the Twisted K-Homology of Simple Lie Groups

Details On the Twisted K-Homology of Simple Lie Groups On the Twisted K-Homology of Simple Lie Groups

2004-02-05

arxiv.org/abs/math/0402082v4

Topology 45 (2006), 955-988

Mathematics

Algebraic Topology

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

Scientific paper

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.

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