MacLane homology and topological Hochschild homology

DOI10.1016/0022-4049(92)90012-5zbMath0767.55010OpenAlexW2020060261MaRDI QIDQ5905655

Friedhelm Waldhausen, Teimouraz Pirashvili

Publication date: 1 April 1993

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

Full work available at URL: https://pub.uni-bielefeld.de/record/1782165

zbMATH Keywords

spectral sequenceMacLane homologytopological Hochschild homology of a discrete ring

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Homotopy theory (55P99)

Related Items

Formal groups and stable homotopy of commutative rings ⋮ Generic representations of the finite general linear groups and the Steenrod algebra. II ⋮ Stable \(K\)-theory as a derived functor ⋮ Mac Lane (co)homology of the second kind and Wieferich primes ⋮ Third Mac Lane cohomology via categorical rings ⋮ A duality for polynomial functors ⋮ Topological Hochschild homology of ring functors and exact categories ⋮ Relative \(K\)-theory and topological cyclic homology ⋮ André spectral sequences for Baues-Wirsching cohomology of categories ⋮ The rational stable homology of mapping class groups of universal nil-manifolds ⋮ The Hochschild homology and cohomology of A (1) ⋮ The first obstructions to enhancing a triangulated category ⋮ On the Taylor tower of relative \(K\)-theory ⋮ A functorial control of integral torsion in homology ⋮ Cohomologically triangulated categories I ⋮ On the computation of stabilized tensor functors and the relative algebraic 𝐾-theory of dual numbers ⋮ Cohomology of exact categories and (non-)additive sheaves ⋮ Derived algebraic geometry ⋮ Hochschild homology, Frobenius homomorphism and Mac Lane homology ⋮ A multiplicative comparison of Mac Lane homology and topological Hochschild homology ⋮ Quadratic algebra of square groups ⋮ Homology of \(Gl(R)\) with coefficients in a functor of finite degree ⋮ TOPOLOGICAL HOCHSCHILD HOMOLOGY AND THE CONDITION OF HOCHSCHILD-KOSTANT-ROSENBERG ⋮ Filtered topological cyclic homology and relative \(K\)-theory of nilpotent ideals ⋮ MacLane homology and topological Hochschild homology ⋮ Topological Hochschild homology of number rings ⋮ Universal Toda brackets of ring spectra ⋮ Comparison of MacLane, Shukla and Hochschild cohomologies ⋮ On the functoriality of cohomology of categories ⋮ On the cyclic homology of commutative algebras over arbitrary ground rings ⋮ Twisted (co)homological stability for monoids of endomorphisms ⋮ Towards the MacLane cohomology of finite fields

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Homologie nicht-additiver Funktoren. Anwendungen
• On the general linear group and Hochschild homology
• Cohomology of small categories
• Cohomology of algebraic theories
• On the groups \(H(\Pi,n)\). II
• La K-théorie stable
• Cohomologie des algèbres associatives