Convolution algebras for Relational Groupoids and Reduction
Mathematical Physics
2021-09-22 v2 Differential Geometry
math.MP
Quantum Algebra
Abstract
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.
Cite
@article{arxiv.2008.05281,
title = {Convolution algebras for Relational Groupoids and Reduction},
author = {Ivan Contreras and Nima Moshayedi and Konstantin Wernli},
journal= {arXiv preprint arXiv:2008.05281},
year = {2021}
}
Comments
27 pages, 1 figure. To appear in Pacific Journal of Mathematics