Inverting operations in operads

Academic Article

Abstract

  • We construct a localization for operads with respect to one-ary operations based on the Dwyer-Kan hammock localization. For an operad O and a sub-monoid of one-ary operations W we associate an operad LO and a canonical map O to LO which takes elements in W to homotopy invertible operations. Furthermore, we give a functor from the category of O-algebras to the category of LO-algebras satisfying an appropriate universal property.
  • Authors

  • Basterra, Maria
  • Bobkova, Irina
  • Ponto, Kate
  • Tillmann, Ulrike
  • Yeakel, Sarah
  • Status

    Publication Date

  • February 15, 2018
  • Has Subject Area

    Keywords

  • Hammock localization
  • Operads
  • Simplicial localization
  • Symmetric monoidal categories
  • Trees
  • Digital Object Identifier (doi)

    Start Page

  • 130
  • End Page

  • 145
  • Volume

  • 235
  • Issue

  • Adv. Math. 321 1 December 2017