THH and TC are (very) far from being homotopy functors
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Publication:2022449
DOI10.1016/j.jpaa.2020.106640zbMath1460.19003arXiv2007.09857OpenAlexW3128083624MaRDI QIDQ2022449
Publication date: 29 April 2021
Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2007.09857
(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) (K)-theory and homology; cyclic homology and cohomology (19D55) Algebraic cycles (14C25) Algebraic (K)-theory and (L)-theory (category-theoretic aspects) (18F25) Algebraic cycles and motivic cohomology ((K)-theoretic aspects) (19E15) Negative (K)-theory, NK and Nil (19D35)
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Cites Work
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- The local structure of algebraic K-theory
- Cyclic homology, derivations, and the free loopspace
- Cyclic polytopes and the \(K\)-theory of truncated polynomial algebras
- On topological cyclic homology
- Descent properties of homotopy \(K\)-theory
- The cyclotomic trace and algebraic K-theory of spaces
- Cyclic homology, comodules, and mixed complexes
- Singular homology of abstract algebraic varieties
- On the Beilinson fiber square
- On the \(K\)-theory of truncated polynomial algebras, revisited
- On the \(K\)-theory of pullbacks
- Topological Hochschild homology and integral \(p\)-adic Hodge theory
- Homotopy theory of rings
- Étale motives
- Hochschild and Cyclic Homology are Far From Being Homotopy Functors
- Complexe de de\thinspace Rham-Witt et cohomologie cristalline
- The Gysin triangle via localization and 𝐴¹-homotopy invariance
- 𝐾-theory and topological cyclic homology of henselian pairs
- La réalisation étale et les opérations de Grothendieck
- \(\mathbb{A}^1\)-homotopy theory of schemes
- On the vanishing of negative \(K\)-groups
