English

A Canonical Trace Associated with Certain Spectral Triples

Operator Algebras 2010-09-30 v2 Mathematical Physics math.MP

Abstract

In the abstract pseudodifferential setup of Connes and Moscovici, we prove a general formula for the discrepancies of zeta-regularised traces associated with certain spectral triples, and we introduce a canonical trace on operators, whose order lies outside (minus) the dimension spectrum of the spectral triple.

Keywords

Cite

@article{arxiv.1003.1210,
  title  = {A Canonical Trace Associated with Certain Spectral Triples},
  author = {Sylvie Paycha},
  journal= {arXiv preprint arXiv:1003.1210},
  year   = {2010}
}
R2 v1 2026-06-21T14:54:09.770Z