#### Volume 12, issue 4 (2012)

 Recent Issues
 The Journal About the Journal Editorial Board Editorial Interests Subscriptions Submission Guidelines Submission Page Policies for Authors Ethics Statement ISSN (electronic): 1472-2739 ISSN (print): 1472-2747 Author Index To Appear Other MSP Journals
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