## Algebraic & Geometric Topology

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

Anssi Lahtinen

#### 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.

#### Article information

Source
Algebr. Geom. Topol., Volume 12, Number 4 (2012), 1925-1940.

Dates
Revised: 4 May 2012
Accepted: 21 May 2012
First available in Project Euclid: 19 December 2017

https://projecteuclid.org/euclid.agt/1513715444

Digital Object Identifier
doi:10.2140/agt.2012.12.1925

Mathematical Reviews number (MathSciNet)
MR2994825

Zentralblatt MATH identifier
1260.55008

#### Citation

Lahtinen, Anssi. The Atiyah–Segal completion theorem in twisted $K$–theory. Algebr. Geom. Topol. 12 (2012), no. 4, 1925--1940. doi:10.2140/agt.2012.12.1925. https://projecteuclid.org/euclid.agt/1513715444

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