Hochschild homology, trace map and 𝜁-cycles

DOI10.1090/pspum/105/04OpenAlexW4322625108MaRDI QIDQ5887113

Caterina Consani, Alain Connes

Publication date: 17 April 2023

Published in: Cyclic Cohomology at 40: Achievements and Future Prospects (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2207.10419

zbMATH Keywords

Riemann zeta functionHochschild homologyadèle class spacespectral realizationScaling Sitezeta-cycle

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) (zeta (s)) and (L(s, chi)) (11M06) Noncommutative geometry (à la Connes) (58B34) Spectral theory; trace formulas (e.g., that of Selberg) (11F72) Relations with noncommutative geometry (11M55)

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