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arXiv · 2404.09972

Center construction for group-crossed tensor categories

Mizuki Oikawa
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Abstract

We define the notion of the $(G,\Gamma)$-crossed center of a $(G,\Gamma)$-crossed tensor category in the sense of Natale. We show that the $(G, \Gamma)$-crossed center is a $(G \bowtie \Gamma, G \times \Gamma)$-braided tensor category. This construction generalizes the graded center construction for graded tensor categories and the equivariant center construction for tensor categories with group actions.

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Mizuki Oikawa. 2024-04-15. Center construction for group-crossed tensor categories. https://arxiv.org/abs/2404.09972

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