# Banach algebra crossed products by inverse semigroup actions

Source: [Banach algebra crossed products by inverse semigroup actions](<https://www.sota2.com/research/paper/6971af2ee25ad2fa9d1edacb>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2026-01-23T05:00:04.920Z

Authors: K. Bardadyn, B. K. Kwa\\'sniewski

Published: 2026-01-21T11:44:39.000Z

## 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.

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/2601.14907>)

[PDF](<https://arxiv.org/pdf/2601.14907.pdf>)