A Canonical Trace Associated with Certain Spectral Triples
arXiv:1003.1210 · doi:10.3842/SIGMA.2010.077
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.