Fourier series and twisted C*-crossed products
Operator Algebras
2015-10-20 v3 Mathematical Physics
Dynamical Systems
Functional Analysis
Group Theory
math.MP
Abstract
This paper is an invitation to Fourier analysis in the context of reduced twisted C*-crossed products associated with discrete unital twisted C*-dynamical systems. We discuss norm-convergence of Fourier series, multipliers and summation processes. Our study relies in an essential way on the (covariant and equivariant) representation theory of C*-dynamical systems on Hilbert C*-modules. It also yields some information on the ideal structure of reduced twisted C*-crossed products.
Keywords
Cite
@article{arxiv.1303.7381,
title = {Fourier series and twisted C*-crossed products},
author = {Erik Bedos and Roberto Conti},
journal= {arXiv preprint arXiv:1303.7381},
year = {2015}
}
Comments
Some misprints corrected, Section 5 has been slightly reorganized