Year: 2011
Type: article
Abstract: In this work, I offer an alternative presentation theory for C*-algebras with appli-cability to various other normed structures. Specifically, the set of generators is equipped with a nonnegative-valued function which ensures existence of a C*-algebra for the presentation. This modification allows clear definitions of a “relation ” for generators of a C*-algebra and utilization of classical algebraic tools, such as Tietze transformations. iii COPYRIGHT c © 2011, William Benjamin Grilliette iv To those who laid the foundation, built upon it, and will build it higher. vACKNOWLEDGMENTS First of all, I would like to thank my advisor, David Pitts. It was his urgings for me to seek out my own problem, my own path, that first set me on this project. Throughout, he has supported my research, as far removed from his own as it was.
Source: Lincoln (University of Nebraska)
Author: William Benjamin Grilliette
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W1503530893