Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Spectral triples and finite summability on Cuntz-Krieger algebras   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.

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The categories of this paper are: mtrl-th
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The categories of this paper are: patt-sol
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The categories of this paper are: q-fin
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The categories of this paper are: econ
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The categories of this paper are: astro-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: physics
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The categories of this paper are: comp-gas
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The categories of this paper are: plasm-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: math-ph
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The categories of this paper are: nlin
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The categories of this paper are: solv-int
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The categories of this paper are: ao-sci
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The categories of this paper are: adap-org
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The categories of this paper are: hep-lat