Has someone already worked out what would be the infinity categorical analogue of the category of $C^{\ast}$-algebras? Given a groupoid $G$ we can associate a $C^{\ast}$-algebra $C^* (G)$, can we do something similar with a $\infty$-groupoid?
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1$\begingroup$ I wonder if there would be an example of a $C^*$ algebra obtained in this way you mentioned whose all elements are zero divisor?Please see this question as a possible related post physicsoverflow.org/45602/… $\endgroup$– Ali TaghaviCommented Apr 1, 2023 at 11:18
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2$\begingroup$ Possibly related: C*-algebraic drawings of dendroidal sets $\endgroup$– Tobias FritzCommented Apr 1, 2023 at 12:18
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$\begingroup$ You are well come! Thank you toofor your very interesting answer $\endgroup$– Ali TaghaviCommented Apr 1, 2023 at 21:20
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