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• W2024484826 abstract "This paper examines the issue of summability for spectral triples for the class of nonunital algebras introduced in (23). For the case of (p, ∞)-summability, we prove that the Dixmier trace can be used to define a (semifinite) trace on the algebra of the spectral triple. We show this trace is well-behaved, and provide a criteria for measurability of an operator in terms of zeta functions. We also show that all our hypotheses are satisfied by spectral triples arising from geodesically complete Riemannian manifolds. In addition, we indicate how the Local Index Theorem of Connes-Moscovici extends to our nonunital setting. AMS Classifications: 46L80, 46L89." @default.
• W2024484826 created "2016-06-24" @default.
• W2024484826 creator A5016967320 @default.
• W2024484826 date "2004-01-01" @default.
• W2024484826 modified "2023-09-25" @default.
• W2024484826 title "Summability for Nonunital Spectral Triples" @default.
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• W2024484826 doi "https://doi.org/10.1023/b:kthe.0000021311.27770.e8" @default.
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