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N-parameter Fibonacci AF C*-algebras

Posted on:2012-08-12Degree:Ph.DType:Dissertation
University:The University of IowaCandidate:Flournoy, Cecil Buford, JrFull Text:PDF
GTID:1450390008995207Subject:Mathematics
Abstract/Summary:
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/Search Tags:N-parameter fibonacci, Af-algebra
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