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Exotic cyclic cohomology classes and Lipschitz algebras - MaRDI portal

Exotic cyclic cohomology classes and Lipschitz algebras (Q6156898)

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scientific article; zbMATH DE number 7697463
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Exotic cyclic cohomology classes and Lipschitz algebras
scientific article; zbMATH DE number 7697463

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    Exotic cyclic cohomology classes and Lipschitz algebras (English)
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    19 June 2023
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    The authors use singular traces to define cyclic cohomology classes for algebras of Lipschitz continuous functions and algebras of Hölder continuous functions. By pairing with higher algebraic \(K\)-theory in examples, they show that such classes can be nontrivial even they vanish on the algebra of smooth functions.
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    cyclic cohomology
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    singular trace
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    Lipschitz functions
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    Hölder functions
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