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Group completion via the action $\infty$-category
- Publication Year :
- 2024
-
Abstract
- We give a generalization of Quillen's $S^{-1}S$ construction for arbitrary $E_n$-monoids as an $E_{n-1}$-monoidal $\infty$-category and show that its realization models the group completion provided that $n \geq 2$. We will also show how this construction is related to a variety of other constructions of the group completion.
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2405.12118
- Document Type :
- Working Paper