Nikolay Nessonov

activity

20222026

collaborators

3 papers

math.RT2026

Indecomposable characters of the wreath product of a torus by the infinite block-diagonal symmetric group

Nikolay Nessonov, Nhok Tkhai Shon Ngo

In this paper we obtain a complete description of all indecomposable characters (central positive-definite functions) of "block-diagonal" inductive limits of semidirect products $\…

math.RT2025

Classification of indecomposable states on the infinite symmetric inverse semigroup invariant under the infinite symmetric group. Semifinite case

Artem Dudko, Nikolay I. Nessonov

Let $N$ be a set of the natural numbers. Symmetric inverse semigroup $R_{\infty}$ is the semigroup of all infinite 0-1 matrices $[g_{ij}]$ with at most one 1 in each row and…

math.RT2022

An analogue of the Schur-Weyl duality for the automorphisms group of a $II_{1}$ -factor

N. I. Nessonov, S. D. Sinel'shchikov

An analogue of the Schur-Weyl duality for the group of automorphisms of the approximately finite dimensional (AFD) $II_{1}$ -factor is produced. Keywords: AFD $II_{1}$ -facto…

Indecomposable characters of the wreath product of a torus by the infinite block-diagonal symmetric group

Classification of indecomposable states on the infinite symmetric inverse semigroup invariant under the infinite symmetric group. Semifinite case

An analogue of the Schur-Weyl duality for the automorphisms group of a II1​-factor

An analogue of the Schur-Weyl duality for the automorphisms group of a $II_{1}$ -factor