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An
equivariant PPV theorem and Paschke–Higson duality
Moulay-Tahar Benameur and Indrava Roy |
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Vol. 7 (2022), No. 2, 237–278
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Abstract |
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We state the Paschke–Higson duality theorem for a transformation groupoid. Our proof relies on an equivariant localized and norm-controlled version of the Pimsner–Popa–Voiculescu theorem. The main consequence is the existence of a Higson–Roe exact sequence, involving the Baum–Connes assembly map for such a groupoid. |
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Keywords
$K\mkern-2mu$-theory, $K\mkern-2mu$-homology, operator
algebras, Paschke, Higson–Roe
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Mathematical Subject Classification
Primary: 19K33, 19K35, 19K56, 46L05, 46L08
Secondary: 46L80, 46L85
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Milestones
Received: 14 April 2021
Revised: 27 March 2022
Accepted: 11 April 2022
Published: 13 September 2022
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Authors |
| Moulay-Tahar Benameur | |
| Institut Montpellierain Alexander
Grothendieck Université Montpellier et CNRS Campus Triolet Montpellier France |
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| Indrava Roy | |
| Institute of Mathematical Sciences
(HBNI) Chennai India |
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