Olof Giselsson

activity

20162026

C^{*}

-Algebra of the Quantum Matrix Ball and its Irreducible

*

-Representations

2 citations · 2 across the 8 of their papers we have counts for

collaborators

10 papers

math.FA2026

Multipliers of Beurling-Fourier algebras

Mahmood Alaghmandan, Olof Giselsson, Ebrahim Samei +1

For a locally compact group G we introduce and study the reduced Beurling-Fourier-Stieltjes algebra, a weighted analogue of the reduced Fourier-Stieltjes algebra, together with the…

math.OA2025

Cartan subproduct systems

Suvrajit Bhattacharjee, Olof Giselsson, Sergey Neshveyev

Given a semisimple compact Lie group $G$ and a nonzero dominant integral weight $λ$ , the highest weight $G_{q}$ -modules $V_{nλ}$ form a subproduct system of finite dimensional Hilber…

math.OA2023

$q$ -Independence of the $C^{*}$ -algebra of "Continuous Functions" on a Quantum $2 \times 2$ -Matrix Ball

Olof Giselsson

For $0 < q < 1,$ let $Pol (Mat_{2})_{q}$ be the $q$ -analogue of regular functions on the open matrix ball of $2 \times 2$ -matrices introduced by L. Vaksman. We show that…

math.OA2023

Quantum $S U (3)$ as the $C^{*}$ -algebra of a 2-graph

Olof Giselsson

We show that for $q \in (0, 1),$ the $C^{*}$ -algebra $S U_{q} (3)$ is isomorphic a rank $2$ graph $C^{*}$ -algebra (in the sense of Pask and Kumjian). This graph is derived by passing t…

math.FA2020

Beurling-Fourier Algebras and Complexification

Olof Giselsson, Lyudmila Turowska

In this paper, we develop a new approach that allows to identify the Gelfand spectrum of weighted Fourier algebras as a subset of an abstract complexification of the corresponding…

math.QA2018

q-Independence of the Jimbo-Drinfeld Quantization

Olof Giselsson

Let $G$ be a connected semi-simple compact Lie group and for $0 < q < 1$ , let $(C [G]_{q}], Δ_{q})$ be the Jimbo-Drinfeld $q$ -deformation of $G$ . We show th…

math.QA2018

Lecture notes on the co-representation theory of the compact quantum group $S U_{q} (2) .$

Olof Giselsson

This is an exposition of S.L Woronowicz co-representation theory of the compact quantum group $S U_{q} (2)$ written for a seminar series.

math.QA2018★ 2 cited

The Universal $C^{}$ -Algebra of the Quantum Matrix Ball and its Irreducible $$ -Representations

Olof Giselsson

We prove that any irreducible $*$ -representation of $Pol (Mat_{n})_{q}$ can be 'lifted' to an irreducible *-representation of $C [S U_{2 n}]_{q}$ , this result is t…

math.OA2017

Maximum modulus principle for "holomorphic functions" on the quantum matrix ball

Olga Bershtein, Olof Giselsson, Lyudmila Turowska

We describe the Shilov boundary ideal for a q-analog of the algebra of holomorphic functions on the unit ball in the space of $n \times n$ matrices and show that its $C^{*}$ -envelope…

math.FA2016

Half-centered Operators

Olof Giselsson

An operator $T$ on a Hilbert space is called half-centered if the sequence $T^{*} T, (T^{*})^{2} T^{2}, ...$ consists of mutually commuting operators. It is a subclass of the well-stud…

Multipliers of Beurling-Fourier algebras

Cartan subproduct systems

q-Independence of the C∗-algebra of "Continuous Functions" on a Quantum 2×2-Matrix Ball

Quantum SU(3) as the C∗-algebra of a 2-graph

Beurling-Fourier Algebras and Complexification

q-Independence of the Jimbo-Drinfeld Quantization

Lecture notes on the co-representation theory of the compact quantum group SUq​(2).

The Universal C∗-Algebra of the Quantum Matrix Ball and its Irreducible ∗-Representations

Maximum modulus principle for "holomorphic functions" on the quantum matrix ball

Half-centered Operators

$q$ -Independence of the $C^{*}$ -algebra of "Continuous Functions" on a Quantum $2 \times 2$ -Matrix Ball

Quantum $S U (3)$ as the $C^{*}$ -algebra of a 2-graph

Lecture notes on the co-representation theory of the compact quantum group $S U_{q} (2) .$

The Universal $C^{}$ -Algebra of the Quantum Matrix Ball and its Irreducible $$ -Representations