Document Type

Dissertation

Date of Degree

Summer 2011

Degree Name

PhD (Doctor of Philosophy)

Degree In

Mathematics

First Advisor

Richard Baker

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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