Spectral Mackey functors and equivariant algebraic \(K\)-theory. II.

DOI10.2140/tunis.2020.2.97zbMath1461.18009arXiv1505.03098OpenAlexW3105781727MaRDI QIDQ1999647

Jay Shah, Saul Glasman, Clark Barwick

Publication date: 27 June 2019

Published in: Tunisian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.03098

zbMATH Keywords

equivariant algebraic \(K\)-theoryday convolutionequivariant Barratt-Priddy-Quillenspectral Green functorsspectral Mackey functorssymmetric promonoidal infinity-categories

Mathematics Subject Classification ID

Equivariant homotopy theory in algebraic topology (55P91) Algebraic (K)-theory and (L)-theory (category-theoretic aspects) (18F25) Algebraic (K)-theory of spaces (19D10) Topological categories, foundations of homotopy theory (55U40)

Related Items (18)

Integral models for spaces via the higher Frobenius ⋮ Green 2-functors ⋮ Homotopy Mackey functors of equivariant algebraic \(K\)-theory ⋮ Dualizing spheres for compact \(p\)-adic analytic groups and duality in chromatic homotopy ⋮ The spectrum of derived Mackey functors ⋮ Iterated spans and classical topological field theories ⋮ Yoneda lemma for enriched \(\infty\)-categories ⋮ Descent in algebraic \(K\)-theory and a conjecture of Ausoni-Rognes ⋮ On distributivity in higher algebra I: the universal property of bispans ⋮ Equivariant \(A\)-theory ⋮ Higher semiadditive Grothendieck-Witt theory and the 𝐾(1)-local sphere ⋮ Borel’s rank theorem for Artin 𝐿-functions ⋮ Global algebraic K‐theory ⋮ Coassembly is a homotopy limit map ⋮ Multiplicative equivariant \(K\)-theory and the Barratt-Priddy-Quillen theorem ⋮ Equivariant algebraic \(K\)-theory of \(G\)-rings ⋮ Hyperdescent and étale \(K\)-theory ⋮ The equivariant parametrized \(h\)-cobordism theorem, the non-manifold part

Cites Work

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• Stable model categories are categories of modules
• On the algebraicK-theory of higher categories
• EQUIVARIANT UNIVERSAL COEFFICIENT AND KÜNNETH SPECTRAL SEQUENCES
• Higher Topos Theory (AM-170)

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