Anna Duwenig

activity

20182022

collaborators

4 papers

math.OA2022

Renault's $j$ -map for Fell bundle $C^{*}$ -algebras

Anna Duwenig, Dana P. Williams, Joel Zimmerman

If $p : B \to G$ is a Fell bundle over an étale groupoid, then we show that there is an norm reducing injective linear map $j \colon C^*_r(G;\mathcal B)\to Γ_{0}(G;\ma…

math.OA2020

Analyzing the Weyl construction for dynamical Cartan subalgebras

A. Duwenig, E. Gillaspy, R. Norton

When the reduced twisted $C^{*}$ -algebra $C_{r}^{*} (G, c)$ of a non-principal groupoid $G$ admits a Cartan subalgebra, Renault's work on Cartan subalgebras implies th…

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.KT2018

Elliptic Operators and K-Homology

Anna Duwenig

If a differential operator $D$ on a smooth Hermitian vector bundle $S$ over a compact manifold $M$ is symmetric, it is essentially self-adjoint and so admits the use of functional…

Renault's j-map for Fell bundle C∗-algebras

Analyzing the Weyl construction for dynamical Cartan subalgebras

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

Elliptic Operators and K-Homology

Renault's $j$ -map for Fell bundle $C^{*}$ -algebras

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