Dirac operator on a noncommutative Toeplitz torus (Q2330875)
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| English | Dirac operator on a noncommutative Toeplitz torus |
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Dirac operator on a noncommutative Toeplitz torus (English)
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23 October 2019
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In this article, the authors introduce a \(C^{\ast}\)-algebra so called the noncommutative Toeplitz torus and define a spectral triple for its \(C^{\ast}\)-algebra. The spectral triple is even, regular and \(1^{+}\)-summable and the fundamental class of its Dirac operator has index \(1\). For the entire collection see [Zbl 1417.53002].
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Dirac operator
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noncommutative torus
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spectral triple
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Toeplitz algebra
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