Zobrazeno 1 - 7
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pro vyhledávání: '"Jacek Krajczok"'
Autor:
Jacek Krajczok
Publikováno v:
Journal of Operator Theory. 87:319-354
The following paper is devoted to the study of type I locally compact quantum groups. We show how various operators related to the modular theory of the Haar integrals on $\mathbb{G}$ and $\widehat{\mathbb{G}}$ act on the level of direct integrals. U
Autor:
Jacek Krajczok
Publikováno v:
Dissertationes Mathematicae. 561:1-151
Autor:
Mateusz Wasilewski, Jacek Krajczok
Publikováno v:
Journal of Functional Analysis. 283:109549
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
Autor:
Piotr M. Sołtan, Jacek Krajczok
We show that the quantum disk, i.e. the quantum space corresponding to the Toeplitz C*-algebra does not admit any compact quantum group structure. We prove that if such a structure existed the resulting compact quantum group would simultaneously be o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c128ac33d597c9b9f618ac879442c432
http://arxiv.org/abs/2005.02967
http://arxiv.org/abs/2005.02967
Autor:
Jacek Krajczok
We ask the question whether for a given unitary representation $U$ the associated operator $\rho_{U}\in\operatorname{Mor}(U,U^{c\, c})$ has spectrum invariant under inversion -- in this case we say that $\rho_{U}$ has symmetric eigenvalues. This does
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c4ef96619c17ca919201295fdc119163
http://arxiv.org/abs/1803.05658
http://arxiv.org/abs/1803.05658
Autor:
Jacek Krajczok, Piotr M. Sołtan
Publikováno v:
Commentationes Mathematicae. 56
The center of the algebra of continuous functions on the quantum group \(\mathrm{SU}_q(2)\) is determined as well as centers of other related algebras. Several other results concerning this quantum group are given with direct proofs based on concrete
We provide mathematicaly rigorous justification of using term "probability" in connection to the so called non-signalling theories,known also as Popescu's and Rohrlich's box worlds. No only do we prove correctness of these models (in the sense that t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7d6d66a360fc6aafda4e54e3fec3699a