Twisted equivariant K- Theory and K-Homology of Sl3(Z)

Abstract

Replaces Previous version. Includes comments on poincare duality for twisted equivariant in the context of proper and discrete actions and the Baum-Connes Conjecture. We use a spectral sequence proposed by C. Dwyer and previous work by Sanchez-Garcia and Soule to compute Twisted Equivariant K-theory groups of the classifying space for proper actions of Sl3(Z). After proving a Universal coefficient theorem in Bredon Cohomology with specific coefficients, we compute the twisted equivariant K-homology and state a relation to the Baum-Connes Conjecture with coefficients.

1 Figure. arXiv admin note: text overlap with arXiv:math/0601587 by other authors

References in corpus (2)

• Universal twist in Equivariant K-theory for proper and discrete actions
• Segal's spectral sequence in twisted equivariant K-theory for proper and discrete actions

Cited by in corpus (5)

• Segal's spectral sequence in twisted equivariant K-theory for proper and discrete actions
• Twisted Geometric K-homology for Proper actions of discrete groups
• The Completion Theorem in twisted equivariant $K$-Theory for proper and discrete actions
• A description of the assembly map for the Baum-Connes conjecture with coefficients
• Equivariant K-Theory of Central Extensions and Twisted Equivariant K-theory: Sl3(Z) and St3(Z)