Remark 10.2.9. There is an analogous multiplicative Thom-spectrum construction with \(\Comm \) replaced by another \(\infty \)-operad, once the corresponding operadic Day convolution has been developed. We do not need this generalization here. For the case of the little-cubes operads \(\Ee _n\), see Antolín-Camarena and Barthel (2019).
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