The K-theory of strict Hensel local rings and a theorem of Suslin

DOI10.1016/0022-4049(84)90037-9zbMath0577.13009OpenAlexW2038028026MaRDI QIDQ1065875

Henri A. Gillet, Robert W. Thomason

Publication date: 1984

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(84)90037-9

zbMATH Keywords

comparison theorem for K-theoriesK-theory of strict Hensel local rings

Mathematics Subject Classification ID

Algebraic (K)-theory and (L)-theory (category-theoretic aspects) (18F25) Local rings and semilocal rings (13H99) Grothendieck groups, (K)-theory and commutative rings (13D15) Henselian rings (13J15)

Related Items

Algebraic cycles and higher K-theory, Simplicial presheaves, Rigidité des groupes de Chow. (Rigidity of the Chow groups), Algebraic $K$-theory and etale cohomology, Rigidity for linear framed presheaves and generalized motivic cohomology theories, Equivariant algebraic vs. topological K-homology Atiyah-Segal-style, Singular homology of abstract algebraic varieties, Rigidity theorem for presheaves with $\Omega $-transfers, The mathematical enterprises of Robert Thomason, The Brauer group and the second Abel-Jacobi map for 0-cycles on algebraic varieties., Motivic and real étale stable homotopy theory, K-theory of function rings, Rigidity theorem for presheaves with Witt-transfers, Homology of algebraic varieties: An introduction to the works of Suslin and Voevodsky, Rigidity for henselian local rings and \(\mathbb{A}^1\)-representable theories, Gersten conjecture for equivariant \(K\)-theory and applications, Arithmetic rigidity, Topological Hochschild homology and the Hasse-Weil zeta function, Rigidity for equivariant pseudo pretheories, Rigidity in equivariant algebraic \(K\)-theory, Homology of classical Lie groups made discrete. III, Rigidity for equivariant \(K\)-theory, 𝐾-theory and topological cyclic homology of henselian pairs, Rigidity for orientable functors

Cites Work

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• On the K-theory of algebraically closed fields
• The transfer map and fiber bundles
• Cohomologie étale. Seminaire de géométrie algébrique du Bois-Marie SGA 4 1/2 par P. Deligne, avec la collaboration de J. F. Boutot, A. Grothendieck, L. Illusie et J. L. Verdier
• Algebraic approximation of structures over complete local rings
• Primary homotopy theory
• A Theorem in Homological Algebra and Stable Homotopy of Projective Spaces