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Restriction to
finite-index subgroups as étale extensions in topology,
KK–theory and geometry
Paul Balmer, Ivo Dell’Ambrogio and Beren Sanders |
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Algebraic & Geometric Topology 15 (2015) 3023–3045
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Abstract |
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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. |
Keywords
Restriction, equivariant triangulated categories,
separable, étale
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Mathematical Subject Classification 2010
Primary: 13B40, 18E30
Secondary: 55P91, 19K35, 14F05
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References |
Publication
Received: 11 November 2014
Revised: 9 February 2015
Accepted: 9 February 2015
Published: 10 December 2015
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Authors |
| Paul Balmer | |
| Mathematics Department University of California, Los Angeles Los Angeles, CA 90095-1555 USA |
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| http://www.math.ucla.edu/~balmer | |
| Ivo Dell’Ambrogio | |
| Laboratoire de Mathématiques Paul
Painlevé Université de Lille 1 F-59665 Villeneuve-d’Ascq Cedex France |
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| http://math.univ-lille1.fr/~dellambr/ | |
| Beren Sanders | |
| Centre for Symmetry and
Deformation Institut for Matematiske Fag Universitetsparken 5 DK-2100 Copenhagen Denmark |
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| http://beren.blogs.ku.dk/ | |
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