EQUIVARIANT K-THEORY OF CENTRAL EXTENSIONS AND TWISTED EQUIVARIANT K-THEORY: SL(3)Z AND St(3)Z

作者：Barcenas Noe^*; Velasquez Mario

来源：Homology, Homotopy and Applications, 2016, 18(1): 49-70.

DOI：10.4310/HHA.2016.v18.n1.a4

• Twisted equivariant K-theory
• Bredon cohomology
• Baum-Connes conjecture with coefficients
• twisted group C*-algebra
• KK-theoretic duality

We compare twisted equivariant K-theory of SL(3)Z with untwisted equivariant K-theory of a central extension St(3)Z. We compute all twisted equivariant K-theory groups of SL(3)Z, and compare them with previous work on the equivariant K-theory of BSt(3)Z by Tezuka and Yagita.
Using a universal coefficient theorem 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 SL(3)Z, for which a version of KK-theoretic duality studied by Echterhoff, Emerson, and Kim is verified.

• 出版日期2016