$K$-regularity, $cdh$-fibrant Hochschild homology, and a conjecture of Vorst

DOI10.1090/S0894-0347-07-00571-1zbMath1173.19002arXivmath/0605367OpenAlexW2021011913WikidataQ123121302 ScholiaQ123121302MaRDI QIDQ5441373

Christian Haesemeyer, Guillermo Cortiñas, Charles A. Weibel

Publication date: 12 February 2008

Published in: Journal of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0605367

zbMATH Keywords

cyclic homologyHochschild homologysmoothnesscdh-descentVorst's conjecture\(K_n\)-regularity

Mathematics Subject Classification ID

(Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.) (13D03) (K)-theory and homology; cyclic homology and cohomology (19D55) Étale and other Grothendieck topologies and (co)homologies (14F20) (K)-theory of schemes (19E08) Negative (K)-theory, NK and Nil (19D35)

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𝐾-theory of line bundles and smooth varieties, PRO CDH-DESCENT FOR CYCLIC HOMOLOGY AND -THEORY, Infinitesimal cohomology and the Chern character to negative cyclic homology, The KH-theory of complete simplicial toric varieties and the algebraic \(K\)-theory of weighted projective spaces, Algebraic \(K\)-theory. Abstracts from the workshop held May 8--14, 2022, Smooth \(K\)-groups for monoid algebras and \(K\)-regularity, Localization theorems in topological Hochschild homology and topological cyclic homology, A negative answer to a question of Bass, On a conjecture of Vorst, \(K\)-theory and the singularity category of quotient singularities, 𝐾-theory of cones of smooth varieties, \(K\)-regularity of locally convex algebras, Hermitian \(K\)-theory, derived equivalences and Karoubi's fundamental theorem, The slice spectral sequence for singular schemes and applications, Bass' \(NK\) groups and \(cdh\)-fibrant Hochschild homology, Vladimir Voevodsky—An appreciation, The 𝐾-theory of toric varieties, Hochschild coniveau spectral sequence and the Beilinson residue, -THEORY OF MONOID ALGEBRAS AND A QUESTION OF GUBELADZE, Towards Vorst's conjecture in positive characteristic

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