V. Ostrovskyi

activity

19992026

most citedRepresentation Theory and Numerical AF-invariants: The representations and centralizers of certain states on O_d

30 citations · 51 across the 12 of their papers we have counts for

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math.OA2021

On $q$ -tensor products of Cuntz algebras

Alexey Kuzmin, Vasyl Ostrovskyi, Danylo Proskurin +2

We consider the $C^{*}$ -algebra $E_{n, m}^{q}$ , which is a $q$ -twist of two Cuntz-Toeplitz algebras. For the case $∣ q ∣ < 1$ , we give an explicit formula which untwists the $q$ -d…

math.OA2021

A class of representations of $C^{*}$ -algebra generated by $q_{ij}$ -commuting isometries

Olha Ostrovska, Vasyl Ostrovskyi, Danylo Proskurin +1

For $C^{*}$ -algebra generated by a finite family of isometries $s_{j}$ , $j = 1, \dots, d$ satisfying $q_{ij}$ -commutation relations \[ s_j^* s_j = I, \quad s_j^* s_k = q_{ij}s_ks_j^*, \qqu…

On q-tensor products of Cuntz algebras

A class of representations of C∗-algebra generated by qij​-commuting isometries

On $q$ -tensor products of Cuntz algebras

A class of representations of $C^{*}$ -algebra generated by $q_{ij}$ -commuting isometries