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arXiv · 1810.00370

Translations in quantum groups

Alexandru Chirvasitu
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Abstract

Let $H$ be the Hopf $C^*$-algebra of continuous functions on a (locally) compact quantum group of either reduced or full type. We show that endomorphisms of $H$ that respect its right regular comodule structure are translations by elements of largest classical subgroup of $G$. Furthermore, we show that for compact $G$ such an endomorphism is automatically an automorphism regardless of the quantum group norm on the $C^*$-algebra $H$; this answers a question of Piotr M. Hajac.

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Alexandru Chirvasitu. 2018-09-30. Translations in quantum groups. https://arxiv.org/abs/1810.00370

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