Witt vectors of non-commutative rings and topological cyclic homology

DOI10.1007/BF02392710zbMath0894.19001MaRDI QIDQ1384839

Lars Hesselholt

Publication date: 4 June 1998

Published in: Acta Mathematica (Search for Journal in Brave)

zbMATH Keywords

topological cyclic homologyWitt vectorscoinvariantsFrobeniusderived functorsVerschiebungEisenberg-MacLane spectrum

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) (K)-theory and homology; cyclic homology and cohomology (19D55) Equivariant homotopy theory in algebraic topology (55P91) Equivariant (K)-theory (19L47)

Related Items

Mackey Profunctors ⋮ Zeroth Hochschild homology of preprojective algebras over the integers ⋮ On the comparison of two constructions of Witt vectors of non-commutative rings ⋮ Witt vectors with coefficients and characteristic polynomials over non-commutative rings ⋮ Witt vectors, commutative and non-commutative ⋮ Witt vectors as a polynomial functor ⋮ Morphisms between two constructions of Witt vectors of non-commutative rings ⋮ On the Taylor tower of relative \(K\)-theory ⋮ A universal characterization of higher algebraic \(K\)-theory ⋮ Cartier modules and cyclotomic spectra ⋮ Hochschild-Witt complex ⋮ Witt vectors. Part 1 ⋮ Witt vector rings and the relative de Rham Witt complex ⋮ The Witt vectors for Green functors ⋮ Assembly maps for topological cyclic homology of group algebras

Cites Work

• Unnamed Item
• Equivariant stable homotopy theory. With contributions by J. E. McClure
• Cyclic homology and equivariant homology
• On the \(p\)-typical curves in Quillen's \(K\)-theory
• The cyclotomic trace and algebraic K-theory of spaces
• On the \(K\)-theory of finite algebras over Witt vectors of perfect fields
• Complexe de de\thinspace Rham-Witt et cohomologie cristalline