Noncommutative localisation in algebraic \(K\)-theory. I

DOI10.2140/gt.2004.8.1385zbMath1083.18007arXivmath/0410620OpenAlexW2611365983MaRDI QIDQ2388837

Andrew Ranicki, Amnon Neeman

Publication date: 20 September 2005

Published in: Geometry \& Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0410620

zbMATH Keywords

triangulated categoryalgebraic \(K\)-theorynoncommuative localisation

Mathematics Subject Classification ID

Related Items (33)

Reducing homological conjectures by \(n\)-recollements ⋮ Noncommutative localisation in algebraic \(K\)-theory. II. ⋮ Noncommutative localisation in algebraic \(K\)-theory. I ⋮ Blanchfield and Seifert algebra in high-dimensional boundary link theory. I: Algebraic \(K\)-theory ⋮ Algebraic \(K\)-theory of parameterized endomorphisms ⋮ Localization, Whitehead groups and the Atiyah conjecture ⋮ NON-COMMUTATIVE LOCALIZATIONS OF ADDITIVE CATEGORIES AND WEIGHT STRUCTURES ⋮ Excision in algebraic -theory revisited ⋮ Recollements and tilting objects ⋮ The dg Leavitt algebra, singular Yoneda category and singularity category ⋮ Higher algebraic \(K\)-groups and \(\mathcal {D}\)-split sequences ⋮ Higher nonunital Quillen \(K^{\prime}\)-theory, KK-dualities and applications to topological \(\mathbb T\)-dualities ⋮ Jordan-Hölder theorems for derived module categories of piecewise hereditary algebras. ⋮ Derived localisation of algebras and modules ⋮ Partial silting objects and smashing subcategories ⋮ Stratifying derived module categories ⋮ Universal localizations via silting ⋮ K′-Theory of a Local Ring of Finite Cohen-Macaulay Type ⋮ Exact contexts, noncommutative tensor products, and universal localizations ⋮ Higher algebraic \(K\)-theory of ring epimorphisms ⋮ On the uniqueness of stratifications of derived module categories. ⋮ Strong shift equivalence and algebraic \(K\)-theory ⋮ Module theory over Leavitt path algebras and \(K\)-theory. ⋮ Universal localizations embedded in power-series rings ⋮ Parametrizing recollement data for triangulated categories ⋮ Noncommutative localization in algebraic \(L\)-theory ⋮ A Hochschild cohomology comparison theorem for prestacks ⋮ Arens-Michael enveloping algebras and analytic smash products ⋮ Derived categories of coherent sheaves on some zero-dimensional schemes ⋮ Good tilting modules and recollements of derived module categories. II ⋮ Lifting of recollements and gluing of partial silting sets ⋮ On the algebraic K-theory of formal power series ⋮ Higher adeles and non-abelian Riemann-Roch

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