A Canonical Trace Associated with Certain Spectral Triples

Details A Canonical Trace Associated with Certain Spectral Triples A Canonical Trace Associated with Certain Spectral Triples

2010-03-05

arxiv.org/abs/1003.1210v2

SIGMA 6 (2010), 077, 17 pages

Mathematics

Operator Algebras

Scientific paper

10.3842/SIGMA.2010.077

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.

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