Journal article
The semicircular law of free probability as noncommutative multivariable operator theory
Advances in operator theory, Vol.6(4), 69
10/14/2021
DOI: 10.1007/s43036-021-00163-0
Abstract
In this paper, we study semicircular elements induced by connected finite directed graphs. It is shown that if the graph groupoid G of a given graph G contains at least one loop finite path, then it induces a semicircular element under suitable representations of G. As application, if a graph G is fractal (or, satisfies the fractal property) in a certain sense, then it automatically generates infinitely many semicircular elements.
Details
- Title: Subtitle
- The semicircular law of free probability as noncommutative multivariable operator theory
- Creators
- Ilwoo Cho - Saint Ambrose UniversityPalle E. T Jorgensen - University of Iowa
- Resource Type
- Journal article
- Publication Details
- Advances in operator theory, Vol.6(4), 69
- Publisher
- Springer International Publishing
- DOI
- 10.1007/s43036-021-00163-0
- ISSN
- 2662-2009
- eISSN
- 2538-225X
- Language
- English
- Date published
- 10/14/2021
- Academic Unit
- Mathematics
- Record Identifier
- 9984241047902771
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