# Publishing house / Banach Center Publications / All volumes

## Tensor product construction of 2-freeness

### Volume 43 / 1998

Banach Center Publications 43 (1998), 259-272 DOI: 10.4064/-43-1-259-272

#### 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.

#### Authors

• R. Lenczewski

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