Topological Radicals of Semicrossed Products
Operator Algebras
2022-10-13 v1
Abstract
We characterize the hypocompact radical of a semicrossed product in terms of properties of the dynamical system. We show that an element A of a semicrossed product is in the hypocompact radical if and only if the Fourier coefficients of A vanish on the closure of the recurrent points and the 0-Fourier coefficient vanishes also on the largest perfect subset of X.
Keywords
Cite
@article{arxiv.2210.05942,
title = {Topological Radicals of Semicrossed Products},
author = {G. Andreolas and M. Anoussis and C. Magiatis},
journal= {arXiv preprint arXiv:2210.05942},
year = {2022}
}
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8 pages