The Completion Theorem in twisted equivariant K-Theory for proper and discrete actions

2014/08/11 by Noé Bárcenas, Noe Barcenas, Barcenas, Noe +3 · 1 citation
Mathematics · #Advanced Operator Algebra Research #Algebraic structures and combinatorial models #Homotopy and Cohomology in Algebraic Topology #math.KT

paper · pdf · doi:10.48550/arxiv.1408.2404

Major revision

arxiv created 2019/01/14 · arxiv updated 2019/01/15

Abstract

We compare different algebraic structures in twisted equivariant K-Theory for proper actions of discrete groups. After the construction of a module structure over untwisted equivariant K-Theory, we prove a completion Theorem of Atiyah-Segal type for twisted equivariant K-Theory. Using a Universal coefficient Theorem, we prove a cocompletion Theorem for Twisted Borel K-Homology for discrete Groups.

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• Twisted Geometric K-homology for Proper actions of discrete groups

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