Journal article
Free Probability on the Limit C∗-Algebra Induced by a Chain of Graphs
Complex analysis and operator theory, Vol.18(1), 11
2024
DOI: 10.1007/s11785-023-01456-3
Abstract
In this paper, we consider the limit C∗-algebra induced by a chain of connected finite directed graphs, and study the free probability on it. In particular, we are interested in semicircular elements in the limit C∗-algebra whose free distributions are the semicircular law. Our main results not only characterize free-distributional data on the limit C∗-algebra, but also provide a natural way to study free probabilities on “infinite” graphs
Details
- Title: Subtitle
- Free Probability on the Limit C∗-Algebra Induced by a Chain of Graphs
- Creators
- Ilwoo Cho - Saint Ambrose UniversityPalle E. T. Jorgensen - Department of Mathematics and Statistics, Saint Ambrose University, Department of Mathematics, University of Iowa
- Resource Type
- Journal article
- Publication Details
- Complex analysis and operator theory, Vol.18(1), 11
- Publisher
- Springer International Publishing
- DOI
- 10.1007/s11785-023-01456-3
- ISSN
- 1661-8254
- eISSN
- 1661-8262
- Language
- English
- Date published
- 2024
- Academic Unit
- Mathematics
- Record Identifier
- 9984527749802771
Metrics
1 Record Views