Geodesic
Topological radicals of semicrossed products
Serdica Mathematical Journal, Tome 47 (2021) no. 1, pp. 81-92.

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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: semicrossed products, non-selfadjoint operator algebras, topological radicals, hypocompact radical, scattered radical, dynamical system, 47L65, 16Nxx 
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Andreolas, Gavriil; Anoussis, Michalis; Magiatis, Charalampos. Topological radicals of semicrossed products. Serdica Mathematical Journal, Tome 47 (2021) no. 1, pp. 81-92. http://geodesic.mathdoc.fr/item/SMJ2_2021_47_1_a5/