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Jun 29, 2018 at 8:46 comment added Lennart Meier This paper by Lind indeed compares different approaches, in particular $\ast$-modules and $\mathcal{I}$-spaces. The latter have been considered earlier by Schlichtkrull and in arxiv.org/pdf/1103.2764.pdf Sagave and Schlichtkrull give a more direct proof of the equivalence of commutative monoids in $\mathcal{I}$-spaces with algebras over the Barrat-Eccles operad.
Apr 2, 2012 at 17:25 history answered Mike Shulman CC BY-SA 3.0