TITLE: Do symmetric monoidal groupoids model all connective spectra?
QUESTION [10 upvotes]: Thomason showed that symmetric monoidal categories model all connective spectra. But can it be done with groupoids? In order for this to be the case, the group completion prices process must be very drastic. But after all, the sphere spectrum is the group completion of the symmetric monoidal groupoid of finite sets, so maybe anything is possible.

REPLY [5 votes]: Theorem 5.3 of

Daniel Fuentes-Keuthan, Modelling Connective Spectra via Multicategories, arXiv:1909.11148.

answers this question positively!