The homotopy limit problem for Hermitian \(K\)-theory, equivariant motivic homotopy theory and motivic real cobordism

DOI10.1016/j.aim.2011.05.019zbMath1247.14020OpenAlexW1967276588MaRDI QIDQ635493

Kyle M. Ormsby, Po Hu, Igor Kriz

Publication date: 19 August 2011

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aim.2011.05.019

zbMATH Keywords

algebraic \(K\)-theoryequivariant homotopy theorymotivic homotopy theoryHermitian \(K\)-theory

Mathematics Subject Classification ID

Equivariant homotopy theory in algebraic topology (55P91) Motivic cohomology; motivic homotopy theory (14F42) Hermitian (K)-theory, relations with (K)-theory of rings (19G38)

Related Items

THE TOM DIECK SPLITTING THEOREM IN EQUIVARIANT MOTIVIC HOMOTOPY THEORY ⋮ The completion problem for equivariant \(K\)-theory ⋮ The six operations in equivariant motivic homotopy theory ⋮ Preorientations of the derived motivic multiplicative group ⋮ Coassembly is a homotopy limit map ⋮ L‐theory of C∗$C^*$‐algebras ⋮ Ext and the motivic Steenrod algebra over \(\mathbb R\) ⋮ \(K\)-theory and the bridge from motives to noncommutative motives ⋮ Cdh descent for homotopy Hermitian \(K\)-theory of rings with involution ⋮ Topological Hermitian cobordism ⋮ Topological comparison theorems for Bredon motivic cohomology ⋮ Motivic homotopical Galois extensions ⋮ Motivic analogues of \textsf{MO} and \textsf{MSO} ⋮ The motivic Hopf map solves the homotopy limit problem for \(K\)-theory ⋮ The homotopy limit problem and the cellular Picard group of Hermitian \(K\)-theory ⋮ Galois equivariance and stable motivic homotopy theory ⋮ $kq$-resolutions I ⋮ The homotopy groups of the \(\eta \)-periodic motivic sphere spectrum ⋮ About Bredon motivic cohomology of a field ⋮ A transfer morphism for Hermitian \(K\)-theory of schemes with involution ⋮ Some comments on motivic nilpotence ⋮ The homotopy fixed point theorem and the Quillen-Lichtenbaum conjecture in Hermitian \(K\)-theory

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