The Atiyah–Segal completion theorem in twisted K–theory

Anssi Sebastian Lahtinen

doi:10.2140/agt.2012.12.1925

The Atiyah–Segal completion theorem in twisted K–theory

Anssi Sebastian Lahtinen

Department of Mathematical Sciences

4 Citations (Scopus)

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.

Original language	English
Journal	Algebraic & Geometric Topology
Volume	12
Issue number	4
Pages (from-to)	1925-1940
ISSN	1472-2747
DOIs	https://doi.org/10.2140/agt.2012.12.1925
Publication status	Published - 26 Sept 2012

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10.2140/agt.2012.12.1925

http://arxiv.org/abs/0809.1273

Cite this

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AB - 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.

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