8 papers
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…
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…
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…
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…
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…
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…