5 citations · 5 across the 4 of their papers we have counts for
5 papers
Applications of -Entropy to Representation Growth for Discrete Groups
Connor MacMahon
The topological -bounded entropy of the full group -algebra of a finitely generated group is given a representation-theoretic interpretation. The…
1-Bounded Entropy for -Algebras
Connor MacMahon
Towards a question of Voiculescu, two notions of -bounded entropy, and , are defined for -algebras. The quantity involves the tracial completion with…
Existential Inclusions of Bi-exact Groups are Conjugacy Representation Rigid
Connor MacMahon
If is a non-amenable bi-exact group and is an existential embedding, then each of the intersections for a member of i…
An Obstruction for Elementary Embeddings of Hyperbolic Groups
Connor MacMahon
The first Betti number of a group is non-decreasing under various embeddings arising from first order logic. Strict inequality is proved for elementary embeddings of non-a…
Large sets avoiding infinite arithmetic / geometric progressions
Alex Burgin, Samuel Goldberg, Tamás Keleti +2
We study some variants of the Erdős similarity problem. We pose the question if every measurable subset of the real line with positive measure contains a similar copy of an infinit…