Ideal structure and pure infiniteness of ample groupoid -algebras

DOI10.1017/etds.2018.39zbMath1444.46046arXiv1707.03740OpenAlexW2734625591WikidataQ129696250 ScholiaQ129696250MaRDI QIDQ5203826

Kang Li, Christian Bönicke

Publication date: 9 December 2019

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.03740

zbMATH Keywords

étale groupoididealample groupoidreduced $C^*$-algebra

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) (C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) Topological groupoids (including differentiable and Lie groupoids) (22A22)

Related Items (18)

The Haagerup property for twisted groupoid dynamical systems ⋮ The type semigroup, comparison, and almost finiteness for ample groupoids ⋮ Self-similark-Graph C*-Algebras ⋮ Amenability and paradoxicality in semigroups and \(C^\ast\)-algebras ⋮ Essential crossed products for inverse semigroup actions: simplicity and pure infiniteness ⋮ Matui's AH conjecture for graph groupoids ⋮ Ideal structure and pure infiniteness of inverse semigroup crossed products ⋮ Strict comparison for \(C^*\)-algebras arising from almost finite groupoids ⋮ Classification of 𝒪_{∞}-Stable 𝒞*-Algebras ⋮ Some results regarding the ideal structure of C∗$C^*$‐algebras of étale groupoids ⋮ Algebraic actions. I: \(\mathrm{C}^\ast\)-algebras and groupoids ⋮ Left regular representations of Garside categories I. C^*-algebras and groupoids ⋮ Non-simple purely infinite Steinberg algebras with applications to Kumjian-Pask algebras ⋮ Quasi-local algebras and asymptotic expanders ⋮ A dichotomy for groupoid -algebras ⋮ Dense subalgebras of purely infinite simple groupoidC*-algebras ⋮ A generalized type semigroup and dynamical comparison ⋮ Going-down functors and the Künneth formula for crossed products by étale groupoids

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