Topological Hochschild homology of ring functors and exact categories

DOI10.1016/0022-4049(95)00089-5zbMath0856.19004OpenAlexW2028631119MaRDI QIDQ1916412

Bjørn Ian Dundas, Randy McCarthy

Publication date: 17 February 1997

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(95)00089-5

zbMATH Keywords

finitely generated projective modulescyclic homologyalgebraic \(K\)-theoryexact categorytopological Hochschild homologytrace mapspectrasmash productsimplicialstable equivalencedegeneraciesring functorsWaldhausen \(S\)-constructionweak resolution theorem

Mathematics Subject Classification ID

(K)-theory and homology; cyclic homology and cohomology (19D55) Abelian categories, Grothendieck categories (18E10) Algebraic (K)-theory of spaces (19D10)

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Cites Work

• Unnamed Item
• Unnamed Item
• Cohomology of small categories
• Transformation groups and representation theory
• Extensions du groupe additif
• The cyclic homology of an exact category
• The cyclotomic trace and algebraic K-theory of spaces
• Stable \(K\)-theory and topological Hochschild homology
• Categories and cohomology theories
• On the \(K\)-theory of finite algebras over Witt vectors of perfect fields
• Homotopical algebra
• Rings with several objects
• Homotopy limits, completions and localizations
• Δ-SETS I: HOMOTOPY THEORY
• MacLane homology and topological Hochschild homology