Hochschild and cyclic homology of finite type algebras

• D. Kazhdan ^[1] ; V. Nistor ^[2] ; P. Schneider ^[3]
  1. [1] Harvard University

     Harvard University

     City of Cambridge, Estados Unidos

     
  2. [2] Pennsylvania State University

     Pennsylvania State University

     Borough of State College, Estados Unidos

     
  3. [3] WWU Münster, Alemania

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• Localización: Selecta Mathematica, New Series, ISSN 1022-1824, Vol. 4, Nº. 2, 1998, págs. 321-359
• Idioma: inglés
• DOI: 10.1007/s000290050034
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• Resumen

  • We study Hochschild and cyclic homology of finite type algebras using abelian stratifications of their primitive ideal spectrum. Hochschild homology turns out to have a quite complicated behavior, but cyclic homology can be related directly to the singular cohomology of the strata. We also briefly discuss some connections with the representation theory of reductive p-adic groups.