A-free probability

被引：16

作者：

Mlotkowski, W ^{[1
]}

机构：

[1] Univ Wroclaw, Inst Math, PL-50384 Wroclaw, Poland

来源：

INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS | 2004年 / 7卷 / 01期

关键词：

star-algebra; state; noncommutative probability space; free product; star-representation;

D O I：

10.1142/S0219025704001517

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We introduce and study a notion of A-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.

引用

页码：27 / 41

页数：15

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