Theses and Dissertations

Advisor

McBride, Matthew

Committee Member

Diegel, Amanda

Committee Member

Fabel, Paul

Date of Degree

5-15-2026

Original embargo terms

Immediate Worldwide Access

Document Type

Graduate Thesis - Open Access

Major

Mathematics

Degree Name

Master of Science (M.S.)

College

College of Arts and Sciences

Department

Department of Mathematics and Statistics

Abstract

This thesis is an expository exploration of the paper Unbounded Derivations in Algebras Associated with Monothetic Groups. Monothetic groups will be utilized to create a minimal system that gives rise to two C*-algebras, and once we have these algebras, unbounded derivations will be able to be defined on them. These derivations are able to be classified and decomposed into ”special” derivations, and these decompositions help simplify the comparisons between derivations on different algebras. In particular, we emphasize the classification, covariance properties, innerness and approximate innerness, and the lifting behavior of these derivations.

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