5 citations · 5 across the 13 of their papers we have counts for
14 papers
Selflessness, MIF and opposition in groups acting on exotic buildings
Corentin Le Bars, Elyasheev Leibtag, Itamar Vigdorovich
We prove that groups acting freely and cocompactly on (possibly exotic) affine buildings of type and are mixed-identity free and have selfless reduced $C…
Characters of surface groups
David Gao, Adrian Ioana, Itamar Vigdorovich
We initiate the study of characters of surface groups and their corresponding tracial representations. We show that any tracial representation can be approximated arbitrarily well…
On the Maximal Size of Irredundant Generating Sets in Lie Groups and Algebraic Groups
Tal Cohen, Itamar Vigdorovich
We show the following dichotomy for a connected Lie group : If is amenable, then any topologically generating set of size larger than a fixed polynomial in the…
Selfless reduced -algebras of linear groups
Itamar Vigdorovich
It is shown that the reduced C*-algebra of a nontrivial linear group with trivial amenable radical is selfless. Thus selflessness and simplicity coincide for reduced…
Hyperlinearity, stability and asymptotic spectral gap of higher rank lattices
Alon Dogon, Itamar Vigdorovich
We prove that if the group is flexibly Hilbert--Schmidt stable for some prime , then it admits a non-hyperlinear finite central extension. Conseq…
Structural properties of reduced -algebras associated with higher-rank lattices
Itamar Vigdorovich
We present the first examples of higher-rank lattices whose reduced -algebras satisfy strict comparison, stable rank one, selflessness, uniqueness of embeddings of the Jiang…
Lifting Generators in Connected Lie Groups
Tal Cohen, Itamar Vigdorovich
Given an epimorphism between topological groups , when can a generating set of be lifted to a generating set of ? We show that for connected Lie groups the problem…
Trace spaces of full free product -algebras
Adrian Ioana, Pieter Spaas, Itamar Vigdorovich
We study the space of traces associated with arbitrary full free products of unital, separable -algebras. We show that, unless certain basic obstructions (which we fully chara…
Characters of diagonal products and Hilbert-Schmidt stability
Alon Dogon, Arie Levit, Itamar Vigdorovich
We initiate a quantitative study of Hilbert-Schmidt stability for infinitely presented groups through the novel notion of stability radius growth. We exhibit an uncountable family…
The Space of Traces of the Free Group and Free Products of Matrix Algebras
Joav Orovitz, Raz Slutsky, Itamar Vigdorovich
We show that the space of traces of the free group on generators is a Poulsen simplex, i.e., every trace is a pointwise limit of extreme traces. This f…
Spectral gap and character limits in arithmetic groups
Arie Levit, Raz Slutsky, Itamar Vigdorovich
We establish vanishing results for limits of characters in various discrete groups, most notably irreducible lattices in higher rank semisimple Lie groups. As an application, we sh…
Charmenability and Stiffness of Arithmetic Groups
Uri Bader, Itamar Vigdorovich
We characterize charmenability among arithmetic groups and deduce dichotomy statements pertaining normal subgroups, characters, dynamics, representations and associated operator al…
Characters of solvable groups, Hilbert-Schmidt stability and dense periodic measures
Arie Levit, Itamar Vigdorovich
We study the character theory of metabelian and polycyclic groups. It is used to investigate Hilbert-Schmidt stability via the character-theoretic criterion of Hadwin and Shulman.…
On the Complexity of Two Dimensional Commuting Local Hamiltonians
Dorit Aharonov, Oded Kenneth, Itamar Vigdorovich
The complexity of the commuting local Hamiltonians (CLH) problem still remains a mystery after two decades of research of quantum Hamiltonian complexity; it is only known to be con…