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arXiv · 2607.06010

A disintegration theorem for non-second-countable etale groupoids

Sergey Neshveyev
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Abstract

We give a self-contained account of a version of Renault's disintegration theorem for (twisted) C$^*$-algebras of not necessarily Hausdorff \'etale groupoids that can be covered by countably many open bisections. As an application we discuss the $I$-norm, crossed product decompositions by inverse semigroup actions, and KMS-states and weights for general \'etale groupoid C$^*$-algebras.

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Sergey Neshveyev. 2026-07-07. A disintegration theorem for non-second-countable etale groupoids. https://arxiv.org/abs/2607.06010

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