3 citations · 6 across the 12 of their papers we have counts for
16 papers
A -algebraic Hoffman-Wielandt theorem
Bhishan Jacelon
We observe that the -norm distance between the unitary orbits of normal elements in a factor is equal to the -Wasserstein distance bet…
Tracially lyriform -algebras
Bhishan Jacelon
Quantum metric Choquet simplices are special kinds of compact quantum metric spaces designed for distance measurement in and around the category of stably finite Elliott-classifiab…
Brown-Voiculescu entropy revisited
Bhishan Jacelon, Robert Neagu
Aided by the tools and outlook provided by modern classification theory, we take a new look at the Brown-Voiculescu entropy of endomorphisms of nuclear C*-algebras. In particular,…
Even the vague specification property implies density of ergodic measures
Damla Buldağ, Bhishan Jacelon, Dominik Kwietniak
We prove that if a topological dynamical system is surjective and has the vague specification property, then its ergodic measures are dense in the space of all invariant me…
Quantum metric Choquet simplices
Bhishan Jacelon
Precipitating a notion emerging from recent research, we formalise the study of a special class of compact quantum metric spaces. Abstractly, the additional requirement we impose o…
Applications of -classification
Bhishan Jacelon
We provide some background on the category of classifiable -algebras, whose objects are infinite-dimensional, simple, separable, unital -algebras that h…
Operator -theoretic analysis of random adjacency matrices
Bhishan Jacelon, Igor Khavkine
We appeal to results from combinatorial random matrix theory to deduce that various random graph -algebras are asymptotically almost surely Kirchberg algebras with tr…
Random amenable -algebras
Bhishan Jacelon
What is the probability that a random UHF algebra is of infinite type? What is the probability that a random simple AI algebra has at most extremal traces? What is the expected…
Chaotic tracial dynamics
Bhishan Jacelon
The action on the trace space induced by a generic automorphism of a suitable finite classifiable C*-algebra is shown to be chaotic and weakly mixing. Model C*-algebras are constru…
Metrics on trace spaces
Bhishan Jacelon
This article continues the investigation of the tracial geometry of classifiable -algebras that have real rank zero and stable rank one. Using the language of optimal…
Stably projectionless Fraïssé limits
Bhishan Jacelon, Alessandro Vignati
We realise the algebra , the algebra and the algebras , where is a unital UHF algebra as Fraïssé limits of suitable classes of…
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…
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…
Z-stability, finite dimensional tracial boundaries and continuous rank functions
Bhishan Jacelon
We observe that a recent theorem of Sato, Toms-White-Winter and Kirchberg-Rordam also holds for certain nonunital C*-algebras. Namely, we show that an algebraically simple, separab…
Z is universal
Bhishan Jacelon, Wilhelm Winter
We use order zero maps to express the Jiang-Su algebra Z as a universal C*-algebra on countably many generators and relations, and we show that a natural deformation of these relat…
A simple, monotracial, stably projectionless C*-algebra
Bhishan Jacelon
We construct a simple, nuclear, stably projectionless C*-algebra W which has trivial K-theory and a unique tracial state, and we investigate the extent to which W might fit into th…