K. Austin

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20162019

most citedLimit operator theory for groupoids

1 citations · 1 across the 1 of their papers we have counts for

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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 $σ$ -compact, étale and amenable groupoids, in the Hilbert space case. This approach not only unifies various e…

math.OA2018

Groupoid Models of $C^{*}$ -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 $C^{*}$ -algebras. We show that the as…

Limit operator theory for groupoids

Groupoid Models of C∗-algebras and Gelfand Duality

Groupoid Models of $C^{*}$ -algebras and Gelfand Duality