The K-inductive Structure of the Noncommutative Fourier Transform
Walters, Samuel G.
Operator Algebras
Functional Analysis
K-Theory and Homology
46L80, 46L40, 46L35, 81T30, 81T45, 83E30, 55N15, 81T45
Original · EN
The noncommutative Fourier transform of the irrational rotation C*-algebra is shown to have a K-inductive structure (at least for a large concrete class of irrational parameters, containing dense Gδ's). This is a structure for automorphisms that is analogous to Huaxin Lin's notion of tracially AF for C*-algebras, except that it requires more structure from the complementary projection.
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