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- W3038060700 abstract "A noncommutative solenoid is the C*-algebra $C^ast(Q_N^2,sigma)$ where $Q_N$ is the group of the $N$-adic rationals twisted and $sigma$ is a multiplier of $Q_N^2$. In this paper, we use techniques from noncommutative topology to classify these C*-algebras up to *-isomorphism in terms of the multipliers of $Q_N^2$. We also establish a necessary and sufficient condition for simplicity of noncommutative solenoids, compute their K-theory and show that the $K_0$ groups of noncommutative solenoids are given by the extensions of $Z$ by $Q_N$. We give a concrete description of non-simple noncommutative solenoids as bundle of matrices over solenoid groups, and we show that irrational noncommutative solenoids are real rank zero AT C*-algebras." @default.
- W3038060700 created "2020-07-02" @default.
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- W3038060700 date "2011-10-28" @default.
- W3038060700 modified "2023-09-27" @default.
- W3038060700 title "Noncommutative Solenoids" @default.
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- W3038060700 hasPublicationYear "2011" @default.
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