10 citations · 30 across the 16 of their papers we have counts for
17 papers
Cartan subalgebras in self-similar graph -algebras
Dawn Archey, Anna Duwenig, Shanshan Hua +3
For a self-similar graph , we find a distinguished subgroupoid of the associated path groupoid -- the symmetric cycline subgroupoid $\mathcal{S}_{\text{…
Non-traditional C*-diagonals in twisted groupoid C*-algebras
Anna Duwenig
We identify which conditions on an open normal subgroupoid of a LCH étale groupoid with twist are necessary and sufficient for the subgroupoid's reduced twisted C*-algebra to be a…
The Operator Algebras Mentor Network: Impact of Community-Based Mentoring
Anna Duwenig, Kari Eifler, Priyanga Ganesan +4
This paper aims to determine if membership within the Operator Algebras Mentor Network (OAMN) is beneficial to its members. The OAMN is an international mentoring initiative that o…
Norm upper-semicontinuity of functions supported on open abelian isotropy in étale groupoids (a corrigendum to "Reconstruction of groupoids and C*-rigidity of dynamical systems," Adv. Math 390 (2021), 107923)
Toke Meier Carlsen, Anna Duwenig, Efren Ruiz +1
We consider étale Hausdorff groupoids in which the interior of the isotropy is abelian. We prove that the norms of the images under regular representations, of elements of the redu…
The Zappa-Szép product of twisted groupoids
Anna Duwenig, Boyu Li
We define and study the external and the internal Zappa-Szép product of twists over groupoids. We determine when a pair of twists over a matched pair $(\mathcal{G}_…
Non-traditional Cartan subalgebras in twisted groupoid C*-algebras
Anna Duwenig, Dana P. Williams, Joel Zimmerman
Well-known work of Renault shows that if is a twist over a second countable, effective, étale groupoid , then there is a naturally associated Cartan subalgebra of…
The Imprimitivity Fell Bundle
Anna Duwenig
Given a full right-Hilbert C*-module over a C*-algebra , the set of -compact operators on is the (up to isomorphism) un…
Smooth Cartan triples and Lie twists over Hausdorff étale Lie groupoids
Anna Duwenig, Aidan Sims
We describe how to recover a Lie structure on a twist over a Hausdorff étale groupoid from functional-analytic data in the spirit of Connes' reconstruction theorem for manifolds. W…
Alexandrov groupoids and the nuclear dimension of twisted groupoid -algebras
Kristin Courtney, Anna Duwenig, Magdalena C. Georgescu +2
We consider a twist over an étale groupoid . When is principal, we prove that the nuclear dimension of the reduced twisted groupoid -algebra is bounded by…
Imprimitivity theorems and self-similar actions on Fell bundles
Anna Duwenig, Boyu Li
We introduce the notion of self-similar actions of grouopids on other groupoids and Fell bundles. This leads to a new imprimitivity theorem arising from such dynamics, generalizing…
Renault's -map for Fell bundle -algebras
Anna Duwenig, Dana P. Williams, Joel Zimmerman
If 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…
Equivalence of Fell bundles is an equivalence relation
Anna Duwenig, Boyu Li
We introduce the notion of groupoid pre-equivalences and prove that they give rise to groupoid equivalences by taking certain quotients. Then, given an equivalence of Fell bundles…
Analyzing the Weyl construction for dynamical Cartan subalgebras
A. Duwenig, E. Gillaspy, R. Norton
When the reduced twisted -algebra of a non-principal groupoid admits a Cartan subalgebra, Renault's work on Cartan subalgebras implies th…
Zappa-Szép product of a Fell bundle and a groupoid
Anna Duwenig, Boyu Li
We define the Zappa-Szép product of a Fell bundle by a groupoid, which turns out to be a Fell bundle over the Zappa-Szép product of the underlying groupoids. Under certain assumpti…
Cartan subalgebras for non-principal twisted groupoid -algebras
Anna Duwenig, Elizabeth Gillaspy, Rachael Norton +2
Renault proved in 2008 that if is a topologically principal groupoid, then is a Cartan subalgebra in for any twist over . However, there are…
Transversals, duality, and irrational rotation
Anna Duwenig, Heath Emerson
An early result of Noncommutative Geometry was Connes' observation in the 1980's that the Dirac-Dolbeault cycle for the -torus , which induces a Poincaré self-dual…
Elliptic Operators and K-Homology
Anna Duwenig
If a differential operator on a smooth Hermitian vector bundle over a compact manifold is symmetric, it is essentially self-adjoint and so admits the use of functional…