Uniqueness of the multiplicative cyclotomic trace
From MaRDI portal
Publication:2452072
DOI10.1016/j.aim.2014.02.004zbMath1297.19002arXiv1103.3923OpenAlexW2963166599MaRDI QIDQ2452072
Andrew J. Blumberg, Gonçalo Tabuada, David Gepner
Publication date: 28 May 2014
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1103.3923
topological cyclic homologystable \(\infty\)-categoriescyclotomic trace mapspectral categorieshigher algebraic \(K\)-theory
(K)-theory and homology; cyclic homology and cohomology (19D55) Topological (K)-theory (55N15) Algebraic (K)-theory of spaces (19D10) Enriched categories (over closed or monoidal categories) (18D20) Karoubi-Villamayor-Gersten (K)-theory (19D25)
Related Items
Detecting 𝛽 elements in iterated algebraic K-theory ⋮ On the Blumberg-Mandell Künneth theorem for TP ⋮ The nilpotence theorem for the algebraic \(K\)-theory of the sphere spectrum ⋮ Descent in algebraic \(K\)-theory and a conjecture of Ausoni-Rognes ⋮ Colocalizations of noncommutative spectra and bootstrap categories ⋮ An improvement of the Farrell-Jones conjecture for localising invariants ⋮ A Hochschild-Kostant-Rosenberg theorem and residue sequences for logarithmic Hochschild homology ⋮ Coherent Springer theory and the categorical Deligne-Langlands correspondence ⋮ Higher semiadditive algebraic K-theory and redshift ⋮ A universal characterization of higher algebraic \(K\)-theory ⋮ Differential calculus of Hochschild pairs for infinity-categories ⋮ Kaledin's degeneration theorem and topological Hochschild homology ⋮ Cyclic homology in a special world ⋮ Higher traces, noncommutative motives, and the categorified Chern character ⋮ Derived Azumaya algebras and twisted \(K\)-theory ⋮ Controlled objects as a symmetric monoidal functor ⋮ 𝐾-theory of endomorphisms via noncommutative motives ⋮ On the algebraicK-theory of higher categories ⋮ Twisted iterated algebraic \(K\)-theory and topological T-duality for sphere bundles ⋮ Brauer groups and Galois cohomology of commutative ring spectra ⋮ Assembly maps for topological cyclic homology of group algebras ⋮ Redshift and multiplication for truncated Brown-Peterson spectra ⋮ Homotopy-theoretically enriched categories of noncommutative motives
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Multiplicative structures on algebraic \(K\)-theory
- On the equivalence between Lurie's model and the dendroidal model for infinity-operads
- The local structure of algebraic K-theory
- Localization theorems in topological Hochschild homology and topological cyclic homology
- Day convolution for \(\infty\)-categories
- The spectra associated to permutative categories
- Duality in algebra and topology
- The homotopy theory of dg-categories and derived Morita theory
- The homotopy theory of cyclotomic spectra
- Homotopy theory of spectral categories
- Permutative categories, multicategories and algebraic \(K\)-theory
- Function complexes in homotopical algebra
- Simplicial localizations of categories
- Relative algebraic \(K\)-theory and topological cyclic homology
- Relative \(K\)-theory and topological cyclic homology
- Enriched functors and stable homotopy theory
- The cyclotomic trace and algebraic K-theory of spaces
- Homotopy invariant algebraic structures on topological spaces
- Quasi-categories and Kan complexes
- Stable model categories are categories of modules
- On the \(K\)-theory of finite algebras over Witt vectors of perfect fields
- A universal characterization of higher algebraic \(K\)-theory
- Symmetric spectra and topological Hochschild homology
- Rings, modules, and algebras in infinite loop space theory
- On the nonexistence of elements of Kervaire invariant one
- Replacing model categories with simplicial ones
- Model Categories of Diagram Spectra
- ON THE HOMOTOPY THEORY OF ENRICHED CATEGORIES
- Symmetric monoidal structure on non-commutative motives
- Lectures on DG-Categories
- Derived Koszul duality and involutions in the algebraic K -theory of spaces
- Equivariant orthogonal spectra and 𝑆-modules
- Integral transforms and Drinfeld centers in derived algebraic geometry
- A Survey of (∞, 1)-Categories
- A model category structure on the category of simplicial categories
- Matrix invariants of Spectral categories
- A model for the homotopy theory of homotopy theory
- Symmetric spectra
- Localization for 𝑇𝐻𝐻(𝑘𝑢) and the Topological Hochschild and Cyclic Homology of Waldhausen Categories
- A short course on ∞-categories
- Higher Topos Theory (AM-170)