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The Atiyah–Segal completion theorem in twisted $K$–theory

Anssi Lahtinen

Algebraic & Geometric Topology 12 (2012) 1925–1940
Abstract

A basic result in equivariant K–theory, the Atiyah–Segal completion theorem relates the G–equivariant K–theory of a finite G–CW complex to the non-equivariant K–theory of its Borel construction. We prove the analogous result for twisted equivariant K–theory.

Keywords
completion, twisted $K$–theory, equivariant $K$–theory
Mathematical Subject Classification 2000
Primary: 55N15
Secondary: 19L50, 19L47, 55P91
References
Publication
Received: 9 March 2011
Revised: 4 May 2012
Accepted: 21 May 2012
Published: 26 September 2012
Authors
Anssi Lahtinen
Department of Mathematical Sciences
University of Copenhagen
Universitetsparken 5
2100 Copenhagen Ø
Denmark
http://www.math.ku.dk/~lahtinen/