Equivariant K-Theory of Central Extensions and Twisted Equivariant K-theory: Sl3(Z) and St3(Z)
arXiv:1311.5415
Abstract
We compare twisted Equivariant K-theory of Sl3Z with untwisted equivariant K-Theory of its universal central extension, St3Z. Using universal coefficient theorems by the authors, the computations explained here give the domain of Baum-Connes assembly maps landing on the topological K-theory of twisted group C*-algebras related to Sl3Z, for which a version of Poincaré Duality studied previously by Echterhoff, Emerson and Kim is verified.
Major revision, correction of the main result. arXiv admin note: text overlap with arXiv:math/0601587 by other authors