First explicit non-inner-amenable étale groupoids not from partial actions, plus models for unital Kirchberg algebras in the UCT class.
[ADR00] Claire Anantharaman-Delaroche and Jean Renault.Amenable groupoids, volume 36 ofMonographies de L’Enseignement Mathématique [Monographs of L’Enseignement Mathématique]
2 Pith papers cite this work. Polarity classification is still indexing.
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Reduced cross-sectional algebra of an approximation-property Fell bundle over an inverse semigroup is exact iff its unit fiber is exact.
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On groupoids beyond partial actions, inner amenability, and models for Kirchberg algebras
First explicit non-inner-amenable étale groupoids not from partial actions, plus models for unital Kirchberg algebras in the UCT class.
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Exactness and Fell bundles with the approximation property over inverse semigroups
Reduced cross-sectional algebra of an approximation-property Fell bundle over an inverse semigroup is exact iff its unit fiber is exact.