A Canonical Trace Associated with Certain Spectral Triples

[摘要] 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.

[关键词] spectral triples;zeta regularisation;noncommutative residue;discrepancies