Year of Award
2023
Document Type
Dissertation
Degree Type
Doctor of Philosophy (PhD)
Degree Name
Mathematics
Department or School/College
Department of Mathematical Sciences
Committee Chair
Elizabeth Gillaspy
Commitee Members
Karel Stroethoff, Eric Chesebro, Nikolaus Vonessen, Jeff Boersema
Publisher
University of Montana
Recommended Citation
We generalize certain concepts of equivalence between directed graphs to the realm of higher-rank graphs. Specifically, we focus on how certain geometric relations and structure between higher-rank graphs translates to algebraic and topological structure between their induced C*-algebras. This leads to a larger exploration regarding what combinatorial information is lost in the transition from the new field of higher-rank graphs to the well studied field of C*-algebras.
COinS
© Copyright 2023 Samuel Joseph Lippert