Zobrazeno 1 - 10
of 41
pro vyhledávání: '"Krajczok, Jacek"'
Autor:
Krajczok, Jacek
We show that (central) Cowling-Haagerup constant of discrete quantum groups is multiplicative, which extends the result of Freslon to general (not necesarilly unimodular) discrete quantum groups. The crucial feature of our approach is considering alg
Externí odkaz:
http://arxiv.org/abs/2401.16917
The Stone-von Neumann Theorem is a fundamental result which unified the competing quantum mechanical models of matrix mechanics and wave mechanics. It's mechanism of proof ultimately involved the study of unitary group representations on a Hilbert sp
Externí odkaz:
http://arxiv.org/abs/2312.15264
We study an averaging procedure for completely bounded multipliers on a locally compact quantum group with respect to a compact quantum subgroup. As a consequence we show that central approximation properties of discrete quantum groups are equivalent
Externí odkaz:
http://arxiv.org/abs/2312.13626
Autor:
Krajczok, Jacek, Sołtan, Piotr M.
We introduce and study a number of invariants of locally compact quantum groups defined by their scaling and modular groups and the spectrum of their modular elements. Focusing mainly on compact quantum groups we consider the question whether trivial
Externí odkaz:
http://arxiv.org/abs/2311.01204
Autor:
Krajczok, Jacek, Skalski, Adam
Using Godement mean on the Fourier-Stieltjes algebra of a locally compact quantum group we obtain strong separation results for quantum positive-definite functions associated to a subclass of representations, strengthening for example the known relat
Externí odkaz:
http://arxiv.org/abs/2309.10046
We study the Haagerup--Kraus approximation property for locally compact quantum groups, generalising and unifying previous work by Kraus--Ruan and Crann. Along the way we discuss how multipliers of quantum groups interact with the $\mathrm{C}^*$-alge
Externí odkaz:
http://arxiv.org/abs/2305.04894
Autor:
Krajczok, Jacek, Sołtan, Piotr M.
For each $\lambda\in\left]0,1\right]$ we exhibit an uncountable family of compact quantum groups $\mathbb{G}$ such that the von Neumann algebra $\mathsf{L}^{\!\infty}(\mathbb{G})$ is the injective factor of type $\mathrm{III}_\lambda$ with separable
Externí odkaz:
http://arxiv.org/abs/2203.10976
Autor:
Krajczok, Jacek, Sołtan, Piotr M.
Publikováno v:
In Journal of Functional Analysis 15 March 2024 286(6)
Autor:
Krajczok, Jacek, Wasilewski, Mateusz
We study analogues of the radial subalgebras in free group factors (called the algebras of class functions) in the setting of compact quantum groups. For the free orthogonal quantum groups we show that they are not MASAs, as soon as we are in a non-K
Externí odkaz:
http://arxiv.org/abs/2103.06216
Publikováno v:
In Advances in Mathematics February 2024 438