12 citations · 26 across the 8 of their papers we have counts for
8 papers
Cartan subalgebras in self-similar graph -algebras
Dawn Archey, Anna Duwenig, Shanshan Hua +3
For a self-similar graph , we find a distinguished subgroupoid of the associated path groupoid -- the symmetric cycline subgroupoid $\mathcal{S}_{\text{…
Cartan semigroups and twisted groupoid C*-algebras
Tristan Bice, Lisa Orloff Clark, Ying-Fen Lin +1
We prove that twisted groupoid C*-algebras are characterised, up to isomorphism, by having Cartan semigroups, a natural generalisation of normaliser semigroups of Cartan subalgebra…
Classifying Matrix-Valued Holomorphic Cross-Sections Over An Annulus Up To Complete Isometric Isomorphism
Jacob Cornejo, Kathryn McCormick
We classify certain algebras of matrix-valued cross-sections over an annulus up to complete isometric isomorphism, based on topological bundle invariants. In particular, we study s…
The local bisection hypothesis for twisted groupoid C*-algebras
Becky Armstrong, Jonathan H. Brown, Lisa Orloff Clark +4
In this note, we present criteria that are equivalent to a locally compact Hausdorff groupoid being effective. One of these conditions is that satisfies the "C*-algebraic l…
Reconstruction of twisted Steinberg algebras
Becky Armstrong, Gilles G. de Castro, Lisa Orloff Clark +6
We show how to recover a discrete twist over an ample Hausdorff groupoid from a pair consisting of an algebra and what we call a quasi-Cartan subalgebra. We identify precisely whic…
Completely bounded subcontexts of a Morita context of unital -algebras
Kathryn McCormick
In this paper, we answer a question of Blecher-Muhly-Paulsen pertaining to identifying topological invariants for completely bounded Morita equivalences of holomorphic cross-sectio…
Twisted Steinberg algebras
Becky Armstrong, Lisa Orloff Clark, Kristin Courtney +3
We introduce twisted Steinberg algebras over a commutative unital ring . These generalise Steinberg algebras and are a purely algebraic analogue of Renault's twisted groupoid C*…
Matrix Bundles and Operator Algebras Over a Finitely Bordered Riemann Surface
Kathryn McCormick
This note presents an analysis of a class of operator algebras constructed as cross-sectional algebras of flat holomorphic matrix bundles over a finitely bordered Riemann surface.…