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arXiv · 1408.2404

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

Noe Barcenas·Mario Velasquez
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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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Noe Barcenas, Mario Velasquez. 2014-08-11. The Completion Theorem in twisted equivariant $K$-Theory for proper and discrete actions. https://arxiv.org/abs/1408.2404

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