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arXiv · 1706.00076

The K-inductive Structure of the Noncommutative Fourier Transform

Samuel G. Walters
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Abstract

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 $G_\delta$'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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Samuel G. Walters. 2017-05-31. The K-inductive Structure of the Noncommutative Fourier Transform. https://arxiv.org/abs/1706.00076

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