A. Kuzmin

activity

20172024

most citedOn

q

-tensor product of Cuntz algebras

3 citations · 3 across the 3 of their papers we have counts for

collaborators

3 papers

math.OA2024

Universal C*-algebras generated by doubly non-commuting isometries

Marcel de Jeu, Alexey Kuzmin, Paulo R. Pinto

We give an explicit injective representation of the universal $C^{*}$ -algebra that is generated by doubly non-commuting isometries. This injectivity allows us to prove th…

math.OA2019★ 3 cited

On $q$ -tensor product of Cuntz algebras

Alexey Kuzmin, Vasyl Ostrovskyi, Danylo Proskurin +1

We consider $C^{*}$ -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 $q$ -defor…

math.QA2017

Faithfulness of the Fock representation of $C^{*}$ -algebra generated by $q_{ij}$ -commuting isometries

Alexey Kuzmin, Nikolay Pochekai

We consider $C^{*}$ -algebra $I so m_{q_{ij}}$ generated by $n$ isometries $a_{1}, \dots, a_{n}$ satisfying the relations $a_{i}^{*} a_{j} = q_{ij} a_{j} a_{i}^{*}$ with $max ∣ q_{ij} ∣ < 1$ . This $C^*…

Universal C*-algebras generated by doubly non-commuting isometries

On q-tensor product of Cuntz algebras

Faithfulness of the Fock representation of C∗-algebra generated by qij​-commuting isometries

On $q$ -tensor product of Cuntz algebras

Faithfulness of the Fock representation of $C^{*}$ -algebra generated by $q_{ij}$ -commuting isometries