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The Ideal Structures of Crossed Products of Cuntz Algebras by Quasi-Free Actions of Abelian Groups

Published online by Cambridge University Press:  20 November 2018

Takeshi Katsura
Takeshi Katsura*
Affiliation:
Department of Mathematical Sciences, University of Tokyo, Komaba, Tokyo, 153-8914, Japan e-mail: katsu@ms.u-tokyo.ac.jp
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Abstract

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We completely determine the ideal structures of the crossed products of Cuntz algebras by quasi-free actions of abelian groups and give another proof of A. Kishimoto's result on the simplicity of such crossed products. We also give a necessary and sufficient condition that our algebras become primitive, and compute the Connes spectra and $K$-groups of our algebras.

Keywords

46L0546L5546L45
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 55 , Issue 6 , 01 December 2003 , pp. 1302 - 1338
Copyright
Copyright © Canadian Mathematical Society 2003

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