Sarah Reznikoff

activity

20182020

collaborators

4 papers

math.OA2020

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

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…

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

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

Graded C-algebras and twisted groupoid C-algebras