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ArticleOriginal scientific text

Title

Tensor product construction of 2-freeness

Authors 1

Affiliations

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

Abstract

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.

Bibliography

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Banach Center Publications
1998/43/1
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Pages:
259-272
Main language of publication
English
Published
1998
Exact and natural sciences