5 citations · 16 across the 10 of their papers we have counts for
14 papers
Stable rank one, tracial local homogeneity and uniform property
Andrea Vaccaro
We prove that separable, simple, unital, non-elementary, stably finite C*-algebras that have stable rank one, and that have locally finite nuclear dimension in a tracial sense, hav…
Hyperfiniteness and Borel asymptotic dimension of boundary actions of hyperbolic groups
Petr Naryshkin, Andrea Vaccaro
We give a new short proof of the theorem due to Marquis and Sabok, which states that the orbit equivalence relation induced by the action of a finitely generated hyperbolic group o…
Ultraproducts of factorial -bundles
Andrea Vaccaro
This paper investigates factorial -bundles and their ultraproducts. More precisely, a -bundle is factorial if the von Neumann algebras associated to its fibers are all fa…
Tracially amenable actions and purely infinite crossed products
Eusebio Gardella, Shirly Geffen, Julian Kranz +2
We introduce the notion of tracial amenability for actions of discrete groups on unital, tracial C-algebras, as a weakening of amenability where all the relevant approximations…
Dynamical comparison and -stability for crossed products of simple -algebras
Eusebio Gardella, Shirly Geffen, Petr Naryshkin +1
We establish -stability for crossed products of outer actions of amenable groups on -stable -algebras under a mild technical assumption which we call…
Games on AF-algebras
Ben De Bondt, Andrea Vaccaro, Boban Velickovic +1
We analyze -algebras, particularly AF-algebras, and their -groups in the context of the infinitary logic . Given two separable unital AF-…
Corona Rigidity
Ilijas Farah, Saeed Ghasemi, Andrea Vaccaro +1
We give a unified overview of the study of the effects of additional set theoretic axioms on quotient structures. Our focus is on rigidity, measured in terms of existence (or rathe…
Strongly outer actions of amenable groups on -stable nuclear -algebras
Eusebio Gardella, Ilan Hirshberg, Andrea Vaccaro
Let be a separable, unital, simple, -stable, nuclear -algebra, and let be an action of a discrete, countable, amenable group. S…
Trivial Endomorphisms of the Calkin Algebra
Andrea Vaccaro
We prove that it is consistent with ZFC that every unital endomorphism of the Calkin algebra is unitarily equivalent to an endomorphism of which i…
Voiculescu's Theorem for Nonseparable C*-algebras
Andrea Vaccaro
We prove that Voiculescu's noncommutative version of the Weyl-von Neumann theorem can be extended to all (not necessarily separable) unital, separably representable C*-algebras who…
Embedding -algebras into the Calkin algebra
Ilijas Farah, Georgios Katsimpas, Andrea Vaccaro
Every -algebra, regardless of its density character, can be embedded into the Calkin algebra in a forcing extension of the universe obtained without collapsing any ca…
Trace spaces of counterexamples to Naimark's Problem
Andrea Vaccaro
A counterexample to Naimark's problem is a -algebra that is not isomorphic to the algebra of compact operators on some Hilbert space, yet still has only one irreducible rep…
Obstructions to lifting abelian subalgebras of corona algebras
Andrea Vaccaro
Let be a non-commutative, non-unital -algebra. Given a set of commuting positive elements in the corona algebra , we study some obstructions to the exist…
Generic absoluteness and boolean names for elements of a Polish space
Andrea Vaccaro, Matteo Viale
It is common knowledge in the set theory community that there exists a duality relating the commutative -algebras with the family of -names for complex numbers in a boolean…