1 citations · 1 across the 1 of their papers we have counts for
3 papers
math.OA2019★ 1 cited
Limit operator theory for groupoids
Kyle Austin, Jiawen Zhang
We extend the symbol calculus and study the limit operator theory for -compact, étale and amenable groupoids, in the Hilbert space case. This approach not only unifies various e…
math.OA2018
Groupoid Models of -algebras and Gelfand Duality
Kyle Austin, Atish Mitra
We construct a large class of morphisms, which we call partial morphisms, of groupoids that induce -morphisms of maximal and minimal groupoid -algebras. We show that the as…
math.MG2016
Scale Structures and C*-algebras
Kyle Austin, Jerzy Dydak, Michael Holloway
The purpose of this paper is to investigate the duality between large scale and small scale. It is done by creating a connection between C*-algebras and scale structures. In the co…