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Fourier Invariant Partially Approximating Subalgebras of the Irrational Rotation C*-Algebra
Authors:Walters  S
Institution:Department of Mathematics and Computer Science, The University of Northern British Columbia Prince George, B.C. V2N 4Z9, Canada. E-mail: walters{at}hilbert.unbc.ca, walters{at}unbc.ca, http://hilbert.unbc.ca/walters
Abstract:For a dense G{delta}-set of parameters, the irrational rotation algebrais shown to contain infinitely many C*-subalgebras satisfyingthe following properties. Each subalgebra is isomorphic to adirect sum of two matrix algebras of the same (perfect square)dimension; the Fourier transform maps each summand onto theother; the corresponding unit projection is approximately central;the compressions of the canonical generators of the irrationalrotation algebra are approximately contained in the subalgebra.2000 Mathematics Subject Classification 46L80, 46L40, 46L35.
Keywords:C*-algebras  irrational rotation algebras  automorphisms  inductive limits  K-groups  AF-algebras  theta functions
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