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Group actions on Segal operads

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Abstract

We give a Quillen equivalence between model structures for simplicial operads, described via the theory of operads, and Segal operads, thought of as certain reduced dendroidal spaces. We then extend this result to give a Quillen equivalence between the model structures for simplicial operads equipped with a group action and the corresponding Segal operads.

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Correspondence to Julia E. Bergner.

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The first-named author was partially supported by NSF grants DMS-0805951 and DMS-1105766, and by a UCR Regents Fellowship.

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Bergner, J.E., Hackney, P. Group actions on Segal operads. Isr. J. Math. 202, 423–460 (2014). https://doi.org/10.1007/s11856-014-1075-2

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  • DOI: https://doi.org/10.1007/s11856-014-1075-2

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