A model categorical approach to group completion of E_n-algebras

2011/11/24 by Manfred Stelzer, Stelzer, Manfred
Mathematics · #Homotopy and Cohomology in Algebraic Topology #Advanced Topics in Algebra #Algebraic structures and combinatorial models

paper · pdf · doi:10.48550/arxiv.1111.5745

Abstract

A group completion functor Q is constructed in the category of algebras in simplicial sets over a cofibrant E_n-operad M. It is shown that Q defines a Bousfield-Friedander simplicial model category on M-algebras.

Related

• Operads, Algebras and Modules in General Model Categories
• Group completion via the action ∞-category
• Model-completion of varieties of co-Heyting algebras
• Model Category Structure on Simplicial Algebras via Dold-Kan Correspondence
• Cofibrance and Completion