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arXiv · 2210.05942

Topological Radicals of Semicrossed Products

G. Andreolas·M. Anoussis·C. Magiatis
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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.

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G. Andreolas, M. Anoussis, C. Magiatis. 2022-10-12. Topological Radicals of Semicrossed Products. https://arxiv.org/abs/2210.05942

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