Rectification of algebras and modules

  • Vladimir Hinich

    Department of Mathematics University of Haifa Mount Carmel Haifa 3498838 Israel
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Let be a topological (colored) operad. The Lurie -category of -algebras with values in (-category of) complexes is compared to the -category underlying the model category of (classical) dg -algebras. This can be interpreted as a “rectification” result for Lurie operad algebras. A similar result is obtained for modules over operad algebras, as well as for algebras over topological PROPs.

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Vladimir Hinich, Rectification of algebras and modules. Doc. Math. 20 (2015), pp. 879–926

DOI 10.4171/DM/508