A note on spectral triples and quasidiagonality

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Spectral triples (of compact type) are constructed on arbitrary separable quasidiagonal C*-algebras. On the other hand an example of a spectral triple on a non-quasidiagonal algebra is presented.
5 pages; the paper will appear in Expositiones Mathematicae. v2 corrects an erroneuous comment, no changes in the results

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