A note on spectral triples and quasidiagonality
Adam Skalski, Joachim Zacharias
TL;DR
This paper constructs spectral triples on all separable quasidiagonal C*-algebras and provides an example of a spectral triple on a non-quasidiagonal algebra, highlighting differences in their structures.
Contribution
It introduces spectral triples on all separable quasidiagonal C*-algebras and presents a counterexample on a non-quasidiagonal algebra.
Findings
Spectral triples can be constructed on all separable quasidiagonal C*-algebras.
An example of a spectral triple on a non-quasidiagonal algebra is provided.
Differences between quasidiagonal and non-quasidiagonal algebras are illustrated.
Abstract
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.
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Taxonomy
TopicsSpectral Theory in Mathematical Physics · Analytic and geometric function theory · Advanced Operator Algebra Research