76 citations · 782 across the 86 of their papers we have counts for
5 papers · 1 filter
Non-Commutative Vector Bundles for Non-Unital Algebras
Adam Rennie, Aidan Sims
We revisit the characterisation of modules over non-unital -algebras analogous to modules of sections of vector bundles. A fullness condition on the associated multiplier modu…
The Toeplitz noncommutative solenoid and its KMS states
Nathan Brownlowe, Mitchell Hawkins, Aidan Sims
We use Katsura's topological graphs to define Toeplitz extensions of Latrémolière and Packer's noncommutative-solenoid C*-algebras. We identify a natural dynamics on each Toeplitz…
Equivalence and stable isomorphism of groupoids, and diagonal-preserving stable isomorphisms of graph C*-algebras and Leavitt path algebras
Toke Meier Carlsen, Efren Ruiz, Aidan Sims
We prove that ample groupoids with sigma-compact unit spaces are equivalent if and only if they are stably isomorphic in an appropriate sense, and relate this to Matui's notion of…
Ideals of Steinberg algebras of strongly effective groupoids, with applications to Leavitt path algebras
Lisa Orloff Clark, Cain Edie-Michell, Astrid an Huef +1
We consider the ideal structure of Steinberg algebras over a commutative ring with identity. We focus on Hausdorff groupoids that are strongly effective in the sense that their red…
Reconstruction of graded groupoids from graded Steinberg algebras
Pere Ara, Joan Bosa, Roozbeh Hazrat +1
We show how to reconstruct a graded ample Hausdorff groupoid with topologically principal neutrally graded component from the ring structure of its graded Steinberg algebra over an…