Boolean algebras, Morita invariance and the algebraic K-theory of Lawvere theories

DOI10.1017/s0305004123000105arXiv2011.11755MaRDI QIDQ6116298

Markus Szymik, Anna Marie Bohmann

Publication date: 11 August 2023

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.11755

zbMATH Keywords

Boolean algebrasalgebraic \(K\)-theorystable homotopy groups of spheresLawvere algebraic theories

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Stable homotopy theory, spectra (55P42) Theories (e.g., algebraic theories), structure, and semantics (18C10) Structure theory of Boolean algebras (06E05) Algebraic (K)-theory and (L)-theory (category-theoretic aspects) (18F25) Symmetric monoidal categories (19D23)

Related Items (1)

GENERALISATIONS OF LODAY’S ASSEMBLY MAPS FOR LAWVERE’S ALGEBRAIC THEORIES

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Stable homology of automorphism groups of free groups.
• Decomposition theorem for homology groups of symmetric groups
• Model theory and topoi. A collection of lectures by various authors
• Homology fibrations and the 'group-completion' theorem
• \(E_\infty\) ring spaces and \(E_\infty\) ring spectra. With contributions by Frank Quinn, Nigel Ray, and Jorgen Tornehave
• Delooping classifying spaces in algebraic K-theory
• Categories and cohomology theories
• Homological stability for automorphism groups
• The homology of the Higman-Thompson groups
• The rational stable homology of mapping class groups of universal nil-manifolds
• Morita equivalence of many-sorted algebraic theories
• On the cohomology and K-theory of the general linear groups over a finite field
• On the homology of non-connected monoids and their associated groups
• Twisted homological stability for extensions and automorphism groups of free nilpotent groups
• Higher Algebraic K-Theory (After Quillen, Thomason and Others)
• Morita equivalence of algebraic theories
• Beware the Phony Multiplication on Quillen's a -1 a
• Adjointness in Foundations
• $K$-théorie algébrique et représentations de groupes
• A SYNTACTIC CHARACTERIZATION OF MORITA EQUIVALENCE
• Permutations, power operations, and the center of the category of racks
• The Lattice Theory of Post Algebras
• Algebras over theories
• FUNCTORIAL SEMANTICS OF ALGEBRAIC THEORIES
• MORITA EQUIVALENCE
• Post Algebras. I. Postulates and General Theory
• Post algebras and rings

This page was built for publication: Boolean algebras, Morita invariance and the algebraic K-theory of Lawvere theories