Document Type

Dissertation

Date of Degree

Summer 2011

Degree Name

PhD (Doctor of Philosophy)

Degree In

Mathematics

First Advisor

Richard Baker

First Committee Member

Palle Jorgensen

Second Committee Member

Surjit Khurana

Third Committee Member

Phil Kutzko

Fourth Committee Member

Vincent Rodgers

Fifth Committee Member

Gerhard Strohmer

Abstract

An n-parameter Fibonacci AF-algebra is determined by a constant incidence matrix K of a special form. The form of the matrix K is defined by a given n-parameter Fibonacci sequence. We compute the K-theory of certain Fibonacci AF-algebra, and relate their K-theory to the K-theory of an AF-algebra defined by incidence matrices that are the transpose of K.

Keywords

AF-algebras, C*-algebras, Fibonacci Sequence, K-theory, Operator Algebras

Pages

iii, 45 pages

Bibliography

Includes bibliographical references (page 45).

Copyright

Copyright 2011 Cecil B. Flournoy Jr

Included in

Mathematics Commons

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