Higher topological cyclic homology and the Segal conjecture for tori

DOI10.1016/j.aim.2010.08.016zbMath1223.55004arXiv0803.2745OpenAlexW1989447223WikidataQ122957579 ScholiaQ122957579MaRDI QIDQ616907

Bjørn Ian Dundas, Gunnar Carlsson, Christopher L. Douglas

Publication date: 12 January 2011

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

Full work available at URL: https://arxiv.org/abs/0803.2745

zbMATH Keywords

topological cyclic homologytopological Hochschild homologySegal conjectureequivariant spectrachromatic red shiftcovering homologyhigher de Rham-Witt complex

Mathematics Subject Classification ID

Stable homotopy theory, spectra (55P42) (K)-theory and homology; cyclic homology and cohomology (19D55) Simplicial sets and complexes in algebraic topology (55U10) Topological (K)-theory (55N15) Cohomotopy groups (55Q55)

Related Items (11)

Global algebraic K‐theory ⋮ Homology of \(E_n\) ring spectra and iterated THH ⋮ Higher topological Hochschild homology of periodic complex K-theory ⋮ Higher Hochschild homology is not a stable invariant ⋮ Detecting periodic elements in higher topological Hochschild homology ⋮ \(G \)-theory of \(\mathbb F_1\)-algebras I: the equivariant Nishida problem ⋮ Transchromatic twisted character maps ⋮ Sheaves and \(K\)-theory for \(\mathbb F_1\)-schemes ⋮ The $K’$–theory of monoid sets ⋮ Thom spectra, higher THH and tensors in \(\infty\)-categories ⋮ Localization, monoid sets and \(K\)-theory

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