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On the Construction of Free Random Variables

✍ Scribed by Øyvind Ryan

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
485 KB
Volume
154
Category
Article
ISSN
0022-1236

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✦ Synopsis

We investigate some ways to obtain free families of random variables from an initial free family in a tracial noncommutative probability space. The random variables in this initial free family are multiplied on the left and the right by certain operators from an algebra free from the entire family. Aspects of freeness related to this algebra are also considered.

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