N. Nessonov

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math.RT2024

The classification of the stable factor-representations of the infinite hyperoctahedral group

N. I. Nessonov

The full description of the stable factor-representations of the infinite hyperoctahedral group up to quasi-equivalence obtained.

math.RT2018

Any nonsingular action of the full symmetric group is isomorphic to an action with invariant measure

Nikolay Nessonov

Let $S_{\infty}$ denote the set of all bijections of natural numbers. Consider the action of $S_{\infty}$ on a measure space $\left( X,\math…

math.RT2018

$II_{1}$ -factor representations of the infinite symmetric inverse semigroup

N. 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 $[g_{ij}]_{i, j \in N}$ wi…

The classification of the stable factor-representations of the infinite hyperoctahedral group

Any nonsingular action of the full symmetric group is isomorphic to an action with invariant measure

II1​-factor representations of the infinite symmetric inverse semigroup

$II_{1}$ -factor representations of the infinite symmetric inverse semigroup