5 papers
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…
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…
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…
Splittings for C*-correspondences and strong shift equivalence
Kevin Aguyar Brix, Alexander Mundey, Adam Rennie
We present an extension of the notion of in-splits from symbolic dynamics to topological graphs and, more generally, to C*-correspondences. We demonstrate that in-splits provide ex…