The K-inductive Structure of the Noncommutative Fourier Transform
Operator Algebras
2017-06-02 v1 Functional Analysis
K-Theory and Homology
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 '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.
Keywords
Cite
@article{arxiv.1706.00076,
title = {The K-inductive Structure of the Noncommutative Fourier Transform},
author = {Samuel G. Walters},
journal= {arXiv preprint arXiv:1706.00076},
year = {2017}
}
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14 pages