Intertwining for semi-direct product operads

Abstract

This paper shows that the semi-direct product construction for $G$-operads and the levelwise Borel construction for $G$-cooperads are intertwined by the topological operadic bar construction. En route we give a generalization of the bar construction of M. Ching from reduced to certain non-reduced topological operads.

revised version with more general treatment of cooperad structures on the bar construction of non-reduced topological operads; to appear in Algebraic & Geometric Topology

References in corpus (2)

• Bar-cobar duality for operads in stable homotopy theory
• Homotopically trivializing the circle in the framed little disks