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arxiv: 1809.11063 · v3 · submitted 2018-09-28 · 🧮 math.OA · math.FA

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Modulation Spaces as a Smooth Structure in Noncommutative Geometry

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keywords modulationspacesclassnoncommutativesmoothstructureadditionalgebras
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We demonstrate that a class of modulation spaces are examples of a smooth structure on the noncommutative 2-torus in the sense of recent developments in KK-theory. In addition, we prove that this class of modulation spaces can be represented as corners in operator linking algebras.

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