On certain properties of the relative entropy of states of operator algebras.
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Dénes Petz (1991)
Mathematische Zeitschrift
Alexander M. Chebotarev, Franco Fagnola (1995)
Séminaire de probabilités de Strasbourg
Václav Alda (1981)
Czechoslovak Mathematical Journal
Shuzhou Wang (2012)
Banach Center Publications
We review the notion of simple compact quantum groups and examples, and discuss the problem of construction and classification of simple compact quantum groups.
Rudolf Haag, Izumi Ojima (1996)
Annales de l'I.H.P. Physique théorique
W. A. Majewski (1983)
Annales de l'I.H.P. Physique théorique
H. J. Borchers (1995)
Annales de l'I.H.P. Physique théorique
Debashish Goswami, Adam Skalski (2012)
Banach Center Publications
Two different models for a Hopf-von Neumann algebra of bounded functions on the quantum semigroup of all (quantum) permutations of infinitely many elements are proposed, one based on projective limits of enveloping von Neumann algebras related to finite quantum permutation groups, and the second on a universal property with respect to infinite magic unitaries.
Arzumanyan, V.A. (2005)
Zapiski Nauchnykh Seminarov POMI
Stanislaw Goldstein, Adam Paszkiewicz (1990)
Monatshefte für Mathematik
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