collaborators

4 papers

math.GR2026

A continuum of non-measure equivalent groups

Adrian Ioana, Robin Tucker-Drob

We construct a continuum sized family of pairwise non-measure equivalent countable groups which have property (T) (hence are finitely generated)…

math.OA2026

A class of II factors without non-trivial crossed product decompositions

Adriana Fernández Quero, Adrian Ioana, Hui Tan

We introduce a class of separable II factors admitting no non-trivial crossed product decompositions: , for any trace preserving action $G\curvearr…

math.OA2026

Amenable absorption in von Neumann algebras of hyperbolic groups

Juan Felipe Ariza Mejia, Ionut Chifan, Adriana Fernandez Quero +1

We prove that the von Neumann algebra $\cL(G)$ associated with any hyperbolic group satisfies the following \emph{amenable absorption property}: for any infinite maximal amenab…

math.GR2026

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…