Mathematics, Department of
Department of Mathematics: Dissertations, Theses, and Student Research
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First Advisor
David R. Pitts
Date of this Version
Spring 3-31-2011
Document Type
Dissertation
Abstract
In this work, I offer an alternative presentation theory for C*-algebras with applicability 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.
COinS
Comments
A dissertation Presented to the Faculty of The Graduate College at the University of Nebraska In Partial Fulfillment of Requirements For the Degree of Doctor of Philosophy, Major: Mathematics, Under the Supervision of Professor David R. Pitts. Lincoln, Nebraska: January, 2011
Copyright 2011 William Benjamin Grilliette