Abstract
In the present thesis, we investigate representations of Cuntz algebras coming from dilations of row co-isometries. First, we give some general results about such representations. Next, we show that by labeling a random walk, a row co-isometry appears naturally. We give an explicit form for representations that come from such random walks. Then, we give some conditions relating to the reducibility of these representations, exploring how properties of a random walk relate to the Cuntz algebra representation that comes from it
Thesis Completion
2020
Semester
Spring
Thesis Chair/Advisor
Dutkay, Dorin
Degree
Bachelor of Science (B.S.)
College
College of Sciences
Department
Mathematics
Degree Program
Mathematics
Language
English
Access Status
Open Access
Length of Campus-only Access
1 year
Release Date
5-1-2021
Recommended Citation
Christoffersen, Nicholas, "Representations of Cuntz Algebras Associated to Random Walks" (2020). Honors Undergraduate Theses. 686.
https://stars.library.ucf.edu/honorstheses/686