#### Volume 19, issue 4 (2019)

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### Benjamin C Ward

Algebraic & Geometric Topology 19 (2019) 1903–1934
##### Abstract

We show that the semidirect 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 nonreduced topological operads.

##### Keywords
operads, Koszul duality, bar construction, little disks
##### Mathematical Subject Classification 2010
Primary: 18D50, 55U30, 57T30