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Λ-FREE PROBABILITY

WOJCIECH MŁOTKOWSKI

Mathematical Institute, University of Wrocław, Pl. Grunwaldzki 2/4, 50-384 Wrocław, Poland

https://doi.org/10.1142/S0219025704001517Cited by:9 (Source: Crossref)

Abstract

We introduce and study a notion of Λ-freeness, which generalises both freeness and independence in the context of noncommutative probability. In particular, we extend Voiculescu's construction of the free product of representations of unital *-algebras. A central limit theorem is also proved.

Keywords:

AMSC: Primary 46L54, Secondary 46L09, Secondary 43A65

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