15 citations · 51 across the 17 of their papers we have counts for
17 papers
Unital shift equivalence
Kevin Aguyar Brix, Efren Ruiz
We introduce and study a unital version of shift equivalence for finite square matrices over the nonnegative integers. In contrast to the classical case, we show that unital shift…
On Hausdorff covers for non-Hausdorff groupoids
Kevin Aguyar Brix, Julian Gonzales, Jeremy B. Hume +1
We develop a new approach to non-Hausdorff étale groupoids and their algebras based on Timmermann's construction of Hausdorff covers. As an application, we completely characterise…
Minimal covers with continuity-preserving transfer operators for topological dynamical systems
Kevin Aguyar Brix, Jeremy B. Hume, Xin Li
Given a non-invertible dynamical system with a transfer operator, we show there is a minimal cover with a transfer operator that preserves continuous functions. We also introduce a…
Maximal ideals of reduced group C*-algebras and Thompson's groups
Kevin Aguyar Brix, Chris Bruce, Kang Li +1
Given a conditional expectation from a C*-algebra onto a C*-subalgebra , we observe that induction of ideals via , together with a map which we call co-induction, for…
Morphisms of Cuntz-Pimsner algebras from completely positive maps
Kevin Aguyar Brix, Alexander Mundey, Adam Rennie
We introduce positive correspondences as right C*-modules with left actions given by completely positive maps. Positive correspondences form a semi-category that contains the C*-co…
Normal coactions extend to the C*-envelope
Kevin Aguyar Brix, Chris Bruce, Adam Dor-On
We show that a normal coaction of a discrete group on an operator algebra extends to a normal coaction on the C*-envelope. This resolves an open problem attempted by several expert…