  Let O be a topological (colored) operad. The Lurie infinity-category of
O-algebras with values in (infinity-category of) complexes is compared to the
infinity-category underlying the model category of (classical) dg O-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.
