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arXiv · 2008.03772

Compact quantum group structures on type-I $\mathrm{C}^*$-algebras

Alexandru Chirvasitu·Jacek Krajczok·Piotr M. Sołtan
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Abstract

We prove a number of results having to do with equipping type-I $\mathrm{C}^*$-algebras with compact quantum group structures, the two main ones being that such a compact quantum group is necessarily co-amenable, and that if the $\mathrm{C}^*$-algebra in question is an extension of a non-zero finite direct sum of elementary $\mathrm{C}^*$-algebras by a commutative unital $\mathrm{C}^*$-algebra then it must be finite-dimensional.

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Alexandru Chirvasitu, Jacek Krajczok, Piotr M. Sołtan. 2020-08-09. Compact quantum group structures on type-I $\mathrm{C}^*$-algebras. https://arxiv.org/abs/2008.03772

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