A Canonical Trace Associated with Certain Spectral Triples
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🧮 math.OA
math-phmath.MP
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spectralassociatedcanonicalcertaintracetriplesabstractconnes
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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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