9 citations · 26 across the 17 of their papers we have counts for
21 papers
Orbit-breaking in Deaconu-Renault groupoids and models for UCT Kirchberg algebras
Robin J. Deeley, Ian F. Putnam, Karen R. Strung
We generalize the concept of orbit-breaking from the case of a homeomorphism to the case of a surjective local homeomorphism. This method creates open subgroupoids of the Deaconu--…
-stability for -algebras of minimal line-bundle-twisted homeomorphisms with the small boundary property
Marzieh Forough, Ja A Jeong, Karen R. Strung
In this paper we show that the Cuntz--Pimsner algebras associated to minimal homeomorphisms twisted by line bundles, along with their orbit-breaking subalgebras, are -…
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…
Recursive subhomogeneity of orbit-breaking subalgebras of -algebras associated to minimal homeomorphisms twisted by line bundles
Marzieh Forough, Ja A Jeong, Karen R. Strung
In this paper, we construct a recursive subhomogeneous decomposition for the Cuntz--Pimsner algebras obtained from breaking the orbit of a minimal Hilbert -bimodule at a subs…
A remark on the Hochschild dimension of liberated quantum groups
Tomasz Brzeziński, Ulrich Krähmer, Réamonn Ó Buachalla +1
Let be a Hopf algebra equipped with a projection onto the coordinate Hopf algebra of a semisimple algebraic group . It is shown that if admits a suitabl…
-algebras associated to homeomorphisms twisted by vector bundles over finite dimensional spaces
Maria Stella Adamo, Dawn E. Archey, Marzieh Forough +4
In this paper we study Cuntz--Pimsner algebras associated to -correspondences over commutative -algebras from the point of view of the -al…
Minimal homeomorphisms and topological -theory
Robin J. Deeley, Ian F. Putnam, Karen R. Strung
The Lefschetz fixed point theorem provides a powerful obstruction to the existence of minimal homeomorphisms on well-behaved spaces such as finite CW-complexes. We show that these…
Holomorphic Relative Hopf Modules over the Irreducible Quantum Flag Manifolds
Fredy Díaz García, Andrey Krutov, Réamonn Ó Buachalla +2
We construct covariant -deformed holomorphic structures for all finitely-generated relative Hopf modules over the irreducible quantum flag manifolds endowed with their Heckenber…
Positive Line Bundles Over the Irreducible Quantum Flag Manifolds
Fredy Díaz García, Andrey Krutov, Réamonn Ó Buachalla +2
Noncommutative Kähler structures were recently introduced by the second author as a framework for studying noncommutative Kähler geometry on quantum homogeneous spaces. It was subs…
Pure infiniteness and paradoxicality for graph -algebras
Francesca Arici, Baukje Debets, Karen R. Strung
We obtain necessary and sufficient conditions for pure infiniteness of the path groupoid -algebra of a row-finite graph without sinks. In particular we show that for such a pa…
Constructions in minimal amenable dynamics and applications to the classification of -algebras
Robin J. Deeley, Ian F. Putnam, Karen R. Strung
We study the existence of minimal dynamical systems, their orbit and minimal orbit-breaking equivalence relations, and their applications to C*-algebras and K-theory. We show that…
Non-homogeneous extensions of Cantor minimal systems
Robin J. Deeley, Ian F. Putnam, Karen R. Strung
Floyd gave an example of a minimal dynamical system which was an extension of an odometer and the fibres of the associated factor map were either singletons or intervals. Gjerde an…
Optimal transport and unitary orbits in C*-algebras
Bhishan Jacelon, Karen R. Strung, Alessandro Vignati
Two areas of mathematics which have received substantial attention in recent years are the theory of optimal transport and the Elliott classification programme for C*-algebras. We…
Group actions on Smale space C*-algebras
Robin J. Deeley, Karen R. Strung
Group actions on a Smale space and the actions induced on the C*-algebras associated to such a dynamical system are studied. We show that an effective action of a discrete group on…
Nichols Algebras and Quantum Principal Bundles
Andrey Krutov, Réamonn Ó Buachalla, Karen R. Strung
We introduce a general framework for associating to a homogeneous quantum principal bundle a Yetter-Drinfeld module structure on the cotangent space of the base calculus. The holom…
Nuclear dimension and classification of C*-algebras associated to Smale spaces
Robin J. Deeley, Karen R. Strung
We show that the homoclinic C*-algebras of mixing Smale spaces are classifiable by the Elliott invariant. To obtain this result, we prove that the stable, unstable, and homoclinic…
Constructing minimal homeomorphisms on point-like spaces and a dynamical presentation of the Jiang-Su algebra
Robin J. Deeley, Ian F. Putnam, Karen R. Strung
The principal aim of this paper is to give a dynamical presentation of the Jiang-Su algebra. Originally constructed as an inductive limit of prime dimension drop algebras, the Jian…
Unitary orbits of self-adjoint operators in simple Z-stable C*-algebras
Bhishan Jacelon, Karen R. Strung, Andrew S. Toms
We prove that in a simple, unital, exact, Z-stable C*-algebra of stable rank one, the distance between the unitary orbits of self-adjoint elements with connected spectrum is comple…
C*-algebras of minimal dynamical systems of the product of a Cantor set and an odd dimensional sphere
Karen R. Strung
Let β: S^n \to S^n, for n = 2k + 1, k \geq 1, be one of the known examples of a non-uniquely ergodic minimal diffeomorphism of an odd dimensional sphere. For every such minimal dyn…
UHF slicing and classification of nuclear C*-algebras
Karen R. Strung, Wilhelm Winter
In this paper we show that certain simple locally recursive subhomogeneous (RSH) C*-algebras are tracially approximately interval algebras after tensoring with the universal UHF al…
Minimal dynamics and Z-stable classification
Karen R. Strung, Wilhelm Winter
Let X be an infinite compact metric space, α: X \to X a minimal homeomorphism, u the unitary implementing αin the transformation group C*-algebra, and S a class of separable nuclea…