On relative and bi-relative algebraic 𝐾-theory of rings of finite characteristic

DOI10.1090/S0894-0347-2010-00682-0zbMath1247.19003arXiv0810.1337MaRDI QIDQ3074551

Thomas Geisser, Lars Hesselholt

Publication date: 9 February 2011

Published in: Journal of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0810.1337

zbMATH Keywords

K-theorynilpotent idealbounded exponentbirelative group

Mathematics Subject Classification ID

Nonabelian homological algebra (category-theoretic aspects) (18G50) (K)-theory and homology; cyclic homology and cohomology (19D55) Extensions of associative rings by ideals (16S70)

Related Items

On the \(K\)-theory of coordinate axes in affine space, Algebraic geometry in mixed characteristic, Algebraic \(K\)-theory and descent for blow-ups, Pro unitality and pro excision in algebraic \(K\)-theory and cyclic homology, A universal characterization of higher algebraic \(K\)-theory, \(p\)-adic deformation of algebraic cycle classes, On the vanishing of negative \(K\)-groups, Murthy's conjecture on 0-cycles, On the \(K\)-theory of pullbacks, On the Beilinson fiber square

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Relative algebraic K-theory and cyclic homology
• The localization of spectra with respect to homology
• Excision in bivariant periodic cyclic cohomology
• Cyclic polytopes and the \(K\)-theory of truncated polynomial algebras
• Relative algebraic \(K\)-theory and topological cyclic homology
• On the \(K\)-theory of local fields
• The cyclotomic trace and algebraic K-theory of spaces
• Topological Hochschild homology of ring functors and exact categories
• On the \(K\)-theory of finite algebras over Witt vectors of perfect fields
• Bi-relative algebraic \(K\)-theory and topological cyclic homology
• The obstruction to excision in \(K\)-theory and in cyclic homology
• On the Whitehead Spectrum of the Circle
• On the de Rham–Witt complex in mixed characteristic
• On the K-Theory of the Coordinate Axes in the Plane
• On the $K$-theory and topological cyclic homology of smooth schemes over a discrete valuation ring
• Simplicial homotopy theory
• On the vanishing of negative \(K\)-groups