This article presents a proof of the Feldman-Moore theorem on Cartan subalgebras in W*-
algebras based on the non-commutative Stone equivalence between Boolean inverse …

We study simplicity and pure infiniteness criteria for C-algebras associated to inverse
semigroup actions by Hilbert bimodules and to Fell bundles over étale not necessarily …

Characterizing Groupoid C*-algebras of Non-Hausdorff Etale Groupoids Page 1 Lecture Notes
in Mathematics 2306 Ruy Exel David R. Pitts Characterizing Groupoid C*-algebras of …

We characterise Exel's noncommutative Cartan subalgebras in several ways using
uniqueness of conditional expectations, relative commutants, or purely outer inverse …

In this paper we study the nuclearity and weak containment property of reduced cross-
sectional C⁎-algebras of Fell bundles over inverse semigroups. In order to develop the …

We prove implications among the conditions in the title for general-inclusions, and we also
relate this to several other properties in case is a crossed product for an action of a group …

We define a bicategory with\'etale, locally compact groupoids as objects and suitable
correspondences, that is, spaces with two commuting actions as arrows; the 2-arrows are …

Abstract We interpret the Cuntz--Pimsner covariance condition as a nondegeneracy
condition for representations of product systems. We show that Cuntz--Pimsner algebras …

We generalise various non-triviality conditions for group actions to Fell bundles over discrete
groups and prove several implications between them. We also study sufficient criteria for the …

We develop techniques that allow us to convert isomorphisms in the homology of ample
groupoids into isomorphisms in the K-theory of their associated C*-algebras. We apply this …