  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.
