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The primitive ideal space of the partial-isometric crossed product of a system by a single automorphism. (English) Zbl 1391.46073

Summary: Let \((A,\alpha)\) be a system consisting of a \(C^\ast\)-algebra \(A\) and an automorphism \(\alpha\) of \(A\). We describe the primitive ideal space of the partial-isometric crossed product \(A\times_\alpha^{\mathrm{piso}}\mathbb{N}\) of the system by using its realization as a full corner of a classical crossed product and applying some results of D. P. Williams [Crossed products of \(C\)*-algebras. Providence, RI: American Mathematical Society (AMS) (2007; Zbl 1119.46002)] and S. Echterhoff [“Crossed products, the Mackey-Rieffel-Green machine and applications”, Preprint (2010), arXiv:1006.4975].

MSC:

46L55 Noncommutative dynamical systems

Citations:

Zbl 1119.46002
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