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.
@article{bwmeta1.element.bwnjournal-article-bcpv43i1p259bwm,
author = {Lenczewski, R.},
title = {Tensor product construction of 2-freeness},
journal = {Banach Center Publications},
volume = {43},
year = {1998},
pages = {259-272},
zbl = {0943.46035},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-bcpv43i1p259bwm}
}
Lenczewski, R. Tensor product construction of 2-freeness. Banach Center Publications, Tome 43 (1998) pp. 259-272. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-bcpv43i1p259bwm/
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