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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
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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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