TR of quasiregular semiperfect rings is eve

• Micah Darrell ^[1] ; Noah Riggenbach ^[2]
  1. [1] Chicago, IL, USA
  2. [2] orthwestern University, USA
• Localización: Selecta Mathematica, New Series, ISSN 1022-1824, Vol. 31, Nº. 3, 2025
• Idioma: inglés
• DOI: 10.1007/s00029-025-01065-2
• Enlaces
  • Texto completo
• Resumen

  • We show that TR2i−1(S) = 0 for all i ∈ N and all S quasiregular semiperfect. We show this by computing the algebraic K-theory of truncated polynomial algebras over certain quaisregular semiperfect rings and showing that for these rings the topological restriction homology is even via the curves on K-theory description of [9]. We then use prismatic cohomology to go from these cases to the general case.

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