A Canonical Trace Associated with Certain Spectral Triples

Symmetry Integrability and Geometry-Methods and Applications

article

Sylvie Paycha¹ 

[1] Laboratoire de Mathématiques

关键词: spectral triples;    zeta regularisation;    noncommutative residue;    discrepancies;   

DOI  :  10.3842/SIGMA.2010.077

来源: National Academy of Science of Ukraine

【 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.

【 授权许可】

Unknown