Abstract
We introduce the notions of relational groupoids and relational convolution algebras. We provide various examples arising from the group algebra of a group G and a given normal subgroup H. 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.
Original language | English |
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Journal | Pacific Journal of Mathematics |
Volume | 313 |
Issue number | 1 |
Pages (from-to) | 75-102 |
Number of pages | 28 |
ISSN | 0030-8730 |
DOIs | |
Publication status | Published - 2021 |
Bibliographical note
Publisher Copyright:© 2021. Pacific Journal of Mathematics. All rights reserved.
Keywords
- convolution algebra
- Haar systems
- Lie groupoids
- reduction
- relational groupoids