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2012 The Atiyah–Segal completion theorem in twisted $K$–theory
Anssi Lahtinen
Algebr. Geom. Topol. 12(4): 1925-1940 (2012). 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.

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Anssi Lahtinen. "The Atiyah–Segal completion theorem in twisted $K$–theory." Algebr. Geom. Topol. 12 (4) 1925 - 1940, 2012. https://doi.org/10.2140/agt.2012.12.1925

Information

Received: 9 March 2011; Revised: 4 May 2012; Accepted: 21 May 2012; Published: 2012
First available in Project Euclid: 19 December 2017

zbMATH: 1260.55008
MathSciNet: MR2994825
Digital Object Identifier: 10.2140/agt.2012.12.1925

Subjects:
Primary: 55N15
Secondary: 19L47 , 19L50 , 55P91

Keywords: completion , equivariant $K$–theory , twisted $K$–theory

Rights: Copyright © 2012 Mathematical Sciences Publishers

Vol.12 • No. 4 • 2012
MSP
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