N-parameter Fibonacci AF C*-Algebras

Cecil Buford Flournoy Jr.

doi:10.17077/etd.e3l4hbia

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N-parameter Fibonacci AF C*-Algebras

Cecil Buford Flournoy Jr.

University of Iowa

Doctor of Philosophy (PhD), University of Iowa

Summer 2011

DOI: 10.17077/etd.e3l4hbia

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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.

Mathematics

AF-algebras

C*-algebras

Fibonacci Sequence

K-theory

Operator Algebras

Details

Title: Subtitle: N-parameter Fibonacci AF C*-Algebras
Creators: Cecil Buford Flournoy Jr. - University of Iowa
Contributors: Richard Baker (Advisor)
Palle Jorgensen (Committee Member)
Surjit Khurana (Committee Member)
Phil Kutzko (Committee Member)
Vincent Rodgers (Committee Member)
Gerhard Strohmer (Committee Member)
Resource Type: Dissertation
Degree Awarded: Doctor of Philosophy (PhD), University of Iowa
Degree in: Mathematics
Date degree season: Summer 2011
Publisher: University of Iowa
DOI: 10.17077/etd.e3l4hbia
Number of pages: iii, 45 pages
Language: English
Description bibliographic: Includes bibliographical references (page 45).
Academic Unit: Mathematics
Record Identifier: 9983777368402771

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