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

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.

Major revision

References in corpus (2)

• Segal's spectral sequence in twisted equivariant K-theory for proper and discrete actions
• Twisted Geometric K-homology for Proper actions of discrete groups

Cited by in corpus (1)

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