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- W4294205087 abstract "We produce a variety of odd bounded Fredholm modules and odd spectral triples on Cuntz-Krieger algebras by means of realizing these algebras as the algebra of functions on a non-commutative space coming from a sub shift of finite type. We show that any odd $K$-homology class can be represented by such an odd bounded Fredholm module or odd spectral triple. The odd bounded Fredholm modules that are constructed are finitely summable. The spectral triples are $theta$-summable although their bounded transform, when constructed using the sign-function, will already on the level of analytic $K$-cycles be finitely summable bounded Fredholm modules. Using the unbounded Kasparov product, we exhibit a family of generalized spectral triples, possessing mildly unbounded commutators, whilst still giving well defined $K$-homology classes." @default.
- W4294205087 created "2022-09-02" @default.
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- W4294205087 date "2014-01-09" @default.
- W4294205087 modified "2023-09-25" @default.
- W4294205087 title "Spectral triples and finite summability on Cuntz-Krieger algebras" @default.
- W4294205087 doi "https://doi.org/10.48550/arxiv.1401.2123" @default.
- W4294205087 hasPublicationYear "2014" @default.
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