2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/157087We 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 4.1.2Algebraic TopologyK-Theory and Homologytext