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Topological Radicals of Semicrossed Products (2210.05942v1)
Published 12 Oct 2022 in math.OA
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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