On the -theory of complete regular local -algebras

• Autores: Thomas Geisser, Lars Hesselholt
• Localización: Topology, ISSN 0040-9383, Vol. 45, Nº 3, 2006, págs. 475-494
• Idioma: inglés
• DOI: 10.1016/j.top.2005.09.002
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• Resumen

  • Let A be a noetherian -algebra that is finitely generated as a module over the subring Ap of pth powers. We give an explicit formula for the de Rham¿Witt complex of the power series ring At in terms of that of the ring A. We use this formula to show that, for every complete regular local -algebra whose residue field is a finite extension of the subfield of pth powers, the canonical map from the algebraic K-theory with -coefficients to the topological K-theory with -coefficients is an isomorphism.