R-Diagonal Elements and Freeness With Amalgamation
Canadian journal of mathematics, Tome 53 (2001) no. 2, pp. 355-381

Voir la notice de l'article provenant de la source Cambridge University Press

The concept of $R$ -diagonal element was introduced in [5], and was subsequently found to have applications to several problems in free probability. In this paper we describe a new approach to $R$ -diagonality, which relies on freeness with amalgamation. The class of $R$ -diagonal elements is enlarged to contain examples living in non-tracial $*$ -probability spaces, such as the generalized circular elements of [7].
DOI : 10.4153/CJM-2001-015-6
Mots-clés : 46L54
Nica, Alexandru; Shlyakhtenko, Dimitri; Speicher, Roland. R-Diagonal Elements and Freeness With Amalgamation. Canadian journal of mathematics, Tome 53 (2001) no. 2, pp. 355-381. doi: 10.4153/CJM-2001-015-6
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