Λ-FREE PROBABILITY

Λ-FREE PROBABILITY
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Λ-自由概率

DOI:
10.1142/s0219025704001517
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发表时间:
2004
期刊:
Infinite Dimensional Analysis, Quantum Probability and Related Topics
影响因子:
--
通讯作者:
W. Mlotkowski
W. Mlotkowski
中科院分区:
--
文献类型:
--
作者:
W. Mlotkowski

文献摘要

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我们引入并研究了Λ-自由度的概念,它在非对易概率的背景下推广了自由度和独立性。特别是,我们延长Voiculescu的建设的自由产品的表示单位 *-代数。还证明了一个中心极限定理。
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.