Dixmier trace, Fredholm modules and Riemannian geometry

DOI10.1016/0920-5632(88)90369-6zbMath0958.58501OpenAlexW1978987552MaRDI QIDQ5927308

Alain Connes

Publication date: 8 March 2001

Published in: Nuclear Physics. B. Proceedings Supplements (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0920-5632(88)90369-6

Mathematics Subject Classification ID

Selfadjoint operator algebras ((C^*)-algebras, von Neumann ((W^*)-) algebras, etc.) (46L99) Infinite-dimensional Lie (super)algebras (17B65) Fredholm structures on infinite-dimensional manifolds (58B15) Exotic index theories on manifolds (58J22)

Related Items (10)

Noncommutative Riemannian geometry and diffusion on ultrametric Cantor sets ⋮ On the spectral characterization of manifolds ⋮ Advances in Dixmier traces and applications ⋮ Commutants mod normed ideals ⋮ Entropy of Random Walks on Groups and the Macaev Norm ⋮ Noncommutative geometry and fundamental physical interactions: The Lagrangian level—Historical sketch and description of the present situation ⋮ Hybrid normed ideal perturbations of \(n\)-tuples of operators. I ⋮ The Dixmier trace and asymptotics of zeta functions ⋮ On the existence of quasicentral approximate units relative to normed ideals. I ⋮ A remark about supramenability and the Macaev norm

Cites Work

• The action functional in non-commutative geometry
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