Abstract:Let $\mathcal{A}$ be a (not necessarily rational) conformal net with an action of a discrete group $G$. We show that the category $\text{Rep}^G(\mathcal{A})$ of $G$-twisted representations of $\mathcal{A}$ is canonically a $G$-crossed balanced $\mathrm{W}^*$-tensor category. This extends the results of Müger arXiv:math/0403322, in the language of localized endomorphisms, that $\text{Rep}^G(\mathcal{A})$ is a $G$-crossed braided tensor category.
From: Adrià Marín Salvador [view email]
[v1]
Tue, 2 Jun 2026 13:23:13 UTC (65 KB)
[v2]
Fri, 5 Jun 2026 12:20:57 UTC (65 KB)
[v3]
Tue, 4 Aug 2026 14:13:55 UTC (66 KB)
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