Sarah Reznikoff

activity

20132025

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

13 citations · 28 across the 6 of their papers we have counts for

collaborators

9 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.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.OA2020★ 4 cited

Regular ideals of graph algebras

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

Let $C^{*} (E)$ be the graph C $^{*}$ -algebra of a row-finite graph $E$ . We give a complete description of the vertex sets of the gauge-invariant regular ideals of $C^{*} (E)$ . It is shown…

math.OA2020★ 10 cited

Cartan subalgebras for non-principal twisted groupoid $C^{*}$ -algebras

Anna Duwenig, Elizabeth Gillaspy, Rachael Norton +2

Renault proved in 2008 that if $G$ is a topologically principal groupoid, then $C_{0} (G^{(0)})$ is a Cartan subalgebra in $C_{r}^{*} (G, Σ)$ for any twist $Σ$ over $G$ . However, there are…

math.OA2019

Intermediate C*-algebras of Cartan Embeddings

Jonathan H. Brown, Ruy Exel, Adam H. Fuller +2

Let $A$ be a C $^{*}$ -algebra and let $D$ be a Cartan subalgebra of $A$ . We study the following question: if $B$ is a C $^{*}$ -algebra such that $D \subseteq B \subseteq A$ , is $D$ a Car…

math.OA2019★ 13 cited

Graded C-algebras and twisted groupoid C-algebras

Jonathan Brown, Adam Fuller, David Pitts +1

Let $C^{*}$ -algebra that is acted upon by a compact abelian group. We show that if the fixed-point algebra of the action contains a Cartan subalgebra $D$ satisfying an appropriate re…

math.OA2018

Pullbacks of graph C*-algebras from admissible pushouts of graphs

Piotr M. Hajac, Sarah Reznikoff, Mariusz Tobolski

We define an admissible decomposition of a graph $E$ into subgraphs $F_{1}$ and $F_{2}$ , and consider the intersection graph $F_{1} \cap F_{2}$ as a subgraph of both $F_{1}$ and $F_{2}$ . We pro…

math.OA2013

Pseudo-Diagonals and Uniqueness Theorems

Gabriel Nagy, Sarah Reznikoff

We examine a certain type of abelian C*-subalgebras that allow one to give a unified treatment of two uniqueness theorems: for graph C*-algebras and for certain reduced crossed pro…

math.OA2013

A generalized Cuntz-Krieger uniqueness theorem for higher rank graphs

Jonathan H. Brown, Gabriel Nagy, Sarah Reznikoff

We present a uniqueness theorem for k-graph C*-algebras that requires neither an aperiodicity nor a gauge invariance assumption. Specifically, we prove that for the injectivity of…

Regular ideals, Ideal Intersections and Quotients II

Regular ideals, ideal intersections, and quotients

Regular ideals of graph algebras

Cartan subalgebras for non-principal twisted groupoid C∗-algebras

Intermediate C*-algebras of Cartan Embeddings

Graded C*-algebras and twisted groupoid C*-algebras

Pullbacks of graph C*-algebras from admissible pushouts of graphs

Pseudo-Diagonals and Uniqueness Theorems

A generalized Cuntz-Krieger uniqueness theorem for higher rank graphs

Cartan subalgebras for non-principal twisted groupoid $C^{*}$ -algebras

Graded C-algebras and twisted groupoid C-algebras