60 citations · 76 across the 8 of their papers we have counts for
4 papers · 1 filter
On Krein-Milman theorem for the space of sofic representations
Radu B. Munteanu, Liviu Paunescu
Denote by the space of sofic representations of a countable group . This space is known by a result of the second author, to have a convex-like structure. We show that,…
Two special subgroups of the universal sofic group
Matteo Cavaleri, Radu B. Munteanu, Liviu Paunescu
We define a subgroup of the universal sofic group, obtained as the normaliser of a separable abelian subalgebra. This subgroup can be obtained as an extension by the group of autom…
Unitaries in Ultraproduct of Matrices
Liviu Paunescu
We study various conditions under which a unitary in an ultraproduct of matrices is conjugated to an ultraproduct of permutations.
A generalisation to Birkhoff - von Neumann theorem
Liviu Paunescu, Florin Radulescu
The classic Birkhoff- von Neumann theorem states that the set of doubly stochastic matrices is the convex hull of the permutation matrices. In this paper, we study a generalisation…