English

A note on spectral triples and quasidiagonality

Operator Algebras 2008-11-04 v2

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.

Keywords

Cite

@article{arxiv.0810.5363,
  title  = {A note on spectral triples and quasidiagonality},
  author = {Adam Skalski and Joachim Zacharias},
  journal= {arXiv preprint arXiv:0810.5363},
  year   = {2008}
}

Comments

5 pages; the paper will appear in Expositiones Mathematicae. v2 corrects an erroneuous comment, no changes in the results

R2 v1 2026-06-21T11:36:21.446Z