Dissertation/Thesis Abstract

On KK-Theory and a Theorem in Stable Uniqueness
by Foote, Richard D. L., M.S., University of Louisiana at Lafayette, 2016, 57; 10163279
Abstract (Summary)

Starting in the 1970s, Elliot’s classification of AF -algebras and Brown-Douglas-Fillmore’s classification of essentially normal operators created an explosion in the use of topological methods in the study of C * -algebras. Kasparov’s introduction of KK-theory introduced more advanced machinery. This led to better existence and uniqueness theorems with applications in the classification program. In this thesis, I present such a uniqueness theorem with a proof as presented by Eilers-Dadarlat.

Indexing (document details)
Advisor: Ng, Ping W.
Commitee: Davis, Daniel G., Gonzalez, Leonel R.
School: University of Louisiana at Lafayette
Department: Sciences
School Location: United States -- Louisiana
Source: MAI 56/01M(E), Masters Abstracts International
Subjects: Mathematics, Theoretical Mathematics
Keywords: Functional analysis, KK theory, Stable uniqueness
Publication Number: 10163279
ISBN: 978-1-369-17971-2
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