Rocky Mountain Journal of Mathematics

The primitive ideal space of the partial-isometric crossed product of a system by a single automorphism

Wicharn Lewkeeratiyutkul and Saeid Zahmatkesh

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Abstract

Let $(A,\alpha )$ be a system consisting of a $C^*$-algebra $A$ and an automorphism $\alpha $ of~$A$. We describe the primitive ideal space of the partial-isometric crossed product $A\times _{\alpha }^{piso }\mathbb{N} $ of the system by using its realization as a full corner of a classical crossed product and applying some results of Williams and Echterhoff.

Article information

Source
Rocky Mountain J. Math., Volume 47, Number 8 (2017), 2699-2722.

Dates
First available in Project Euclid: 3 February 2018

Permanent link to this document
https://projecteuclid.org/euclid.rmjm/1517648607

Digital Object Identifier
doi:10.1216/RMJ-2017-47-8-2699

Mathematical Reviews number (MathSciNet)
MR3760314

Zentralblatt MATH identifier
06840996

Subjects
Primary: 46L55: Noncommutative dynamical systems [See also 28Dxx, 37Kxx, 37Lxx, 54H20]

Keywords
$C^*$-algebra automorphism partial isometry crossed product primitive ideal

Citation

Lewkeeratiyutkul, Wicharn; Zahmatkesh, Saeid. The primitive ideal space of the partial-isometric crossed product of a system by a single automorphism. Rocky Mountain J. Math. 47 (2017), no. 8, 2699--2722. doi:10.1216/RMJ-2017-47-8-2699. https://projecteuclid.org/euclid.rmjm/1517648607


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References

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