Nuclear Dimension of Subhomogeneous Twisted Groupoid C*-algebras and Dynamic Asymptotic Dimension
We characterize subhomogeneity for twisted étale groupoid-algebras and obtain an upper
bound on their nuclear dimension. As an application, we remove the principality assumption …
bound on their nuclear dimension. As an application, we remove the principality assumption …
Nuclear dimension of groupoid C*-algebras with large abelian isotropy, with applications to C*-algebras of directed graphs and twists
DP Williams - arXiv preprint arXiv:2412.10241, 2024 - arxiv.org
We characterise when the C*-algebra $ C^*(G) $ of a locally compact and Hausdorff
groupoid $ G $ is subhomogeneous, that is, when its irreducible representations have …
groupoid $ G $ is subhomogeneous, that is, when its irreducible representations have …
Smooth Cartan triples and Lie twists over Hausdorff\'etale Lie groupoids
We characterise when a smooth structure on the unit space of a Hausdorff\'etale groupoid
can be extended to a Lie-groupoid structure on the whole groupoid. We introduce Lie twists …
can be extended to a Lie-groupoid structure on the whole groupoid. We introduce Lie twists …
The Zappa-Sz\'{e} p product of twisted groupoids
We define and study the external and the internal Zappa-Sz\'{e} p product of twists over
groupoids. We determine when a pair $(\Sigma_ {1},\Sigma_ {2}) $ of twists over a matched …
groupoids. We determine when a pair $(\Sigma_ {1},\Sigma_ {2}) $ of twists over a matched …
Cartan semigroups and twisted groupoid C*-algebras
T Bice, LO Clark, YF Lin, K McCormick - arXiv preprint arXiv:2407.05024, 2024 - arxiv.org
We prove that twisted groupoid C*-algebras are characterised, up to isomorphism, by having
Cartan semigroups, a natural generalisation of normaliser semigroups of Cartan …
Cartan semigroups, a natural generalisation of normaliser semigroups of Cartan …