Yulia Kuznetsova

activity

20072025

L^{p}

-algebras

16 citations · 40 across the 16 of their papers we have counts for

collaborators

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5 papers · 1 filter

math.OA2022

Invariant means on subspaces of quantum weakly almost periodic functionals

Yulia Kuznetsova

Let $M$ be a Hopf--von Neuman algebra with the predual $M_{*}$ and $W A P (M)$ the subspace in $M$ composed of weakly almost periodic functionals on $M_{*}$ . The main example of such an a…

math.OA2018

Quantum semigroups: A survey

Yulia Kuznetsova

Notes of a 8h course given at the University of Göteborg during an Erasmus exchange visit, June 11-15, 2018. It is intended for PhD and graduate students familiar with $C^{*}$ -algebr…

math.OA2016★ 2 cited

Duals of quantum semigroups with involution

Yulia N. Kuznetsova

We define a category $Q S I$ of quantum semigroups with involution which carries a corepresentation-based duality map $M \mapsto M$ . Objects in $Q S I$ are…

math.OA2015

Quantum semigroups generated by locally compact semigroups

Marat A. Aukhadiev, Yulia N. Kuznetsova

Let $S$ be a subsemigroup of a second countable locally compact group $G$ , such that $S^{- 1} S = G$ . We consider the $C^{*}$ -algebra $C_{δ}^{*} (S)$ generated by the operators of translation…

math.OA2012★ 5 cited

A duality of locally compact groups which does not involve the Haar measure

Yulia Kuznetsova

We present a simple and intuitive framework for duality of locally compacts groups, which is not based on the Haar measure. This is a map, functorial on a non-degenerate subcategor…