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
收藏
页码：27 / 41
页数：15
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