Localization, monoid sets and \(K\)-theory

DOI10.1016/j.jalgebra.2022.09.009OpenAlexW3196726381MaRDI QIDQ2097268

Ian Coley, Charles A. Weibel

Publication date: 11 November 2022

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2109.03193

zbMATH Keywords

algebraic \(K\)-theorymonoid setspointed monoids

Mathematics Subject Classification ID

Connections of semigroups with homological algebra and category theory (20M50) Equivariant (K)-theory (19L47) Algebraic (K)-theory and (L)-theory (category-theoretic aspects) (18F25) Algebraic monoids (20M32)

Cites Work

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• Multiplicative structures on algebraic \(K\)-theory
• Picard groups and class groups of monoid schemes
• Toric varieties, monoid schemes and cdh descent
• Higher topological cyclic homology and the Segal conjecture for tori
• Sheaves and \(K\)-theory for \(\mathbb F_1\)-schemes
• Remarks on zeta functions and \(K\)-theory over \({\mathbb F}_1\)
• Generalizations of the notion of class group
• Higher algebraic K-theory: I
• The $K’$–theory of monoid sets
• Des catégories abéliennes

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