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Convolution algebras
for relational groupoids and reduction
Ivan Contreras, Nima Moshayedi and Konstantin Wernli |
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Vol. 313 (2021), No. 1, 75–102
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DOI: 10.2140/pjm.2021.313.75
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Abstract |
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We introduce the notions of relational groupoids and relational convolution algebras. We provide various examples arising from the group algebra of a group and a given normal subgroup . We also give conditions for the existence of a Haar system of measures on a relational groupoid compatible with the convolution, and we prove a reduction theorem that recovers the usual convolution of a Lie groupoid. |
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Keywords
convolution algebra, Lie groupoids, Haar systems,
relational groupoids, reduction
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Mathematical Subject Classification
Primary: 18B10, 18B40, 20L05, 57R56
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Milestones
Received: 19 August 2020
Revised: 14 January 2021
Accepted: 6 May 2021
Published: 17 September 2021
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Authors |
| Ivan Contreras | |
| Department of Mathematics and
Statistics Amherst College Amherst, MA United States |
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| Nima Moshayedi | |
| Department of Mathematics University of California, Berkeley Berkeley, CA United States |
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| Konstantin Wernli | |
| Department of Mathematics and
Computer Science University of Southern Denmark Odense Denmark |
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