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2015 Restriction to finite-index subgroups as étale extensions in topology, KK–theory and geometry
Paul Balmer, Ivo Dell’Ambrogio, Beren Sanders
Algebr. Geom. Topol. 15(5): 3023-3045 (2015). DOI: 10.2140/agt.2015.15.3025

Abstract

For equivariant stable homotopy theory, equivariant KK–theory and equivariant derived categories, we show how restriction to a subgroup of finite index yields a finite commutative separable extension, analogous to finite étale extensions in algebraic geometry.

Citation

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Paul Balmer. Ivo Dell’Ambrogio. Beren Sanders. "Restriction to finite-index subgroups as étale extensions in topology, KK–theory and geometry." Algebr. Geom. Topol. 15 (5) 3023 - 3045, 2015. https://doi.org/10.2140/agt.2015.15.3025

Information

Received: 11 November 2014; Revised: 9 February 2015; Accepted: 9 February 2015; Published: 2015
First available in Project Euclid: 16 November 2017

zbMATH: 1342.55006
MathSciNet: MR3426702
Digital Object Identifier: 10.2140/agt.2015.15.3025

Subjects:
Primary: 13B40 , 18E30
Secondary: 14F05 , 19K35 , 55P91

Keywords: equivariant triangulated categories , Étale , restriction , separable

Rights: Copyright © 2015 Mathematical Sciences Publishers

Vol.15 • No. 5 • 2015
MSP
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