Tensor product construction of 2-freeness

• Autorzy: R. Lenczewski
• Języki publikacji: EN

Abstrakty

EN

From a sequence of m-fold tensor product constructions that give a hierarchy of freeness indexed by natural numbers m we examine in detail the first non-trivial case corresponding to m=2 which we call 2-freeness. We show that in this case the constructed tensor product of states agrees with the conditionally free product for correlations of order ≤ 4. We also show how to associate with 2-freeness a cocommutative *-bialgebra.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 1998
• Tom: 43
• Numer: 1
• Strony: 259-272

Daty

wydano

1998

Twórcy

autor

R. Lenczewski

• Institute of Mathematics, Technical University of Wrocław, Wybrzeże Wyspiańskiego 27, 50-370 Wrocław, Poland

Bibliografia

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• [V-D-N] D. V. Voiculescu, K. J. Dykema and A. Nica, Free Random Variables, CRM Monograph Series, AMS, Providence, 1992.