D. Pitts

activity

20002025

most citedGraded C*-algebras and twisted groupoid C*-algebras

13 citations · 45 across the 18 of their papers we have counts for

collaborators

21 papers

math.OA2025

Regular ideals, Ideal Intersections and Quotients II

Jonathan H. Brown, Adam H. Fuller, David R. Pitts +1

Let $B \subseteq A$ be a regular inclusion of C*-algebras satisfying the ideal intersection property and with a faithful invariant pseudo-expectation. A complete description of the…

math.OA2025

Pseudo-Cartan Inclusions

David R. Pitts

A pseudo-Cartan inclusion is a regular inclusion having a Cartan envelope. Unital pseudo-Cartan inclusions were classified by Pitts; we extend this classification to include the no…

math.GN2023

Irreducible Maps and Isomorphisms of Boolean Algebras of Regular Open Sets and Regular Ideals

David R. Pitts

Let $π : Y \to X$ be a continuous surjection between compact Hausdorff spaces $Y$ and $X$ which is irreducible in the sense that if $F ⊊ Y$ is closed, then $π(F)\neq…

math.OA2023

Norming in Discrete Crossed Products

David R. Pitts, Roger R. Smith, Vrej Zarikian

Let $G ↷ A$ be an action of a discrete group on a unital $C^{*}$ -algebra by $*$ -automorphisms. In this note, we give two sufficient dynamical conditions for the $C^{*}$ -…

math.OA2022★ 1 cited

Regular ideals, ideal intersections, and quotients

Jonathan H. Brown, Adam H. Fuller, David R. Pitts +1

Let $B \subseteq A$ be an inclusion of C $^{*}$ -algebras. We study the relationship between the regular ideals of $B$ and regular ideals of $A$ . We show that if $B \subseteq A$ is a r…

math.OA2021

Exotic Ideals in Free Transformation Group $C^{*}$ -Algebras

Ruy Exel, David R. Pitts, Vrej Zarikian

Let $Γ$ be a discrete group acting freely via homeomorphisms on the compact Hausdorff space $X$ and let $C (X) ⋊_{η} Γ$ be the completion of the convolution algebra $C_{c} (Γ, C (X))$ …