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Proceedings of the American Mathematical Society

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A note on endomorphisms of irrational rotation $ C\sp *$-algebras


Author: Kazunori Kodaka
Journal: Proc. Amer. Math. Soc. 122 (1994), 1171-1172
MSC: Primary 46L05; Secondary 46L40
DOI: https://doi.org/10.1090/S0002-9939-1994-1211581-X
MathSciNet review: 1211581
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Abstract: Let $ \theta $ be an irrational number and $ {A_\theta }$ the corresponding irrational rotation $ {{\text{C}}^ \ast }$-algebra. In the present note we will show that proper endomorphisms of $ {A_\theta }$ of a certain sort do not occur if $ \theta $ is not quadratic.


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DOI: https://doi.org/10.1090/S0002-9939-1994-1211581-X
Article copyright: © Copyright 1994 American Mathematical Society