The Atiyah–Segal completion theorem in twisted K–theory

Lahtinen, Anssi

doi:10.2140/agt.2012.12.1925

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

Anssi Lahtinen

Algebraic & Geometric Topology 12 (2012) 1925–1940

DOI: 10.2140/agt.2012.12.1925

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/

Volume 12, issue 4 (2012)