Banach algebra crossed products by inverse semigroup actions
Functional Analysis
2026-01-22 v1 Operator Algebras
Abstract
We give a self-contained and simplified presentation of the theory of covariant representations for inverse semigroup actions on Banach algebras, which was recently introduced in the authors and A. Mckee in the twisted case. The main result of this note is a general universal description of the associated Banach algebra crossed product, that allows disintegration of all representations of the crossed product. Such a disintegration was studied so far only for actions on spaces.
Keywords
Cite
@article{arxiv.2601.14907,
title = {Banach algebra crossed products by inverse semigroup actions},
author = {K. Bardadyn and B. K. Kwaśniewski},
journal= {arXiv preprint arXiv:2601.14907},
year = {2026}
}
Comments
to appear in Proceedings of the XLII Workshop on Geometric Methods in Physics