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

Dutkay, Dorin

Degree

Bachelor of Science (B.S.)

College

College of Sciences

Department

Mathematics

Degree Program

Mathematics

Language

English

Access Status

Campus Access

Length of Campus-only Access

1 year

Release Date

5-1-2021

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