Showing math.OAShow all
3 papers · 1 filter
math.OA2026
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…
math.OA2025
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…
math.OA2024
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…