vix.ing · top · new · best · stats · spec

Equivariant K-Theory of Central Extensions and Twisted Equivariant K-theory: Sl3(Z) and St3(Z)

2013/11/21 by Noé Bárcenas, Noe Barcenas, Barcenas, Noe +3
Mathematics · #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #K-Theory and Homology (math.KT) #math.KT

paper · pdf · doi:10.48550/arxiv.1311.5415

Major revision, correction of the main result. arXiv admin note: text overlap with arXiv:math/0601587 by other authors

openalex publication_date 2013/11/21 · arxiv created 2014/08/15 · arxiv updated 2014/08/19 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

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.

Citations

Related