On the Whitehead Spectrum of the Circle

DOI10.1007/978-3-642-01200-6_7zbMath1196.19009arXiv0710.2823OpenAlexW1827713010MaRDI QIDQ3651701

Lars Hesselholt

Publication date: 11 December 2009

Published in: Algebraic Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0710.2823

zbMATH Keywords

mapping class grouptopological cyclic homologyWhitehead groupalgebraic K-theoryTR homology

Mathematics Subject Classification ID

(K)-theory and homology; cyclic homology and cohomology (19D55) Simple homotopy type, Whitehead torsion, Reidemeister-Franz torsion, etc. (57Q10) Equivariant homotopy theory in algebraic topology (55P91) Topological properties of groups of homeomorphisms or diffeomorphisms (57S05) Whitehead (and related) torsion (19J10) Algebraic (K)-theory of spaces (19D10) Algebraic topology on manifolds and differential topology (57R19)

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On the Farrell-Jones conjecture for Waldhausen's \(A\)-theory, On relative and bi-relative algebraic 𝐾-theory of rings of finite characteristic, Assembly maps for topological cyclic homology of group algebras

Cites Work

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• The stability theorem for smooth pseudoisotopies
• Two-primary algebraic \(K\)-theory of pointed spaces
• The localization of spectra with respect to homology
• On the 2-typical de Rham-Witt complex
• Automorphisms of manifolds and algebraic K-theory. I
• The functors \(K_{-i}\) and pseudo-isotopies of polyhedra
• Algebraic \(K\)-theory of the two-adic integers
• Topological cyclic homology of the integers at two
• On the \(p\)-typical curves in Quillen's \(K\)-theory
• Relative \(K\)-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
• Some stable homotopy of complex projective space
• Operations on the A-theoretic nil-terms
• Higher algebraic K-theory: I
• THE CYCLOTOMIC TRACE FOR S-ALGEBRAS
• Symmetric spectra
• On the de Rham–Witt complex in mixed characteristic
• Spaces of PL Manifolds and Categories of Simple Maps (AM-186)
• Topological Hochschild homology of number rings
• Riemannian Geometry
• A Certain Subgroup of the Fundamental Group