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arXiv · 2001.06740

Coamenability of type I locally compact quantum groups

Jacek Krajczok
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Abstract

We establish two conditions equivalent to coamenability for type I locally compact quantum groups. The first condition is concerned with the spectra of certain convolution operators on the space $\operatorname{L}^2(\operatorname{Irr}(\mathbb{G}))$ of functions which are square integrable with respect to the Plancherel measure. The second condition involves spectra of character-like operators associated with direct integrals of irreducible representations. As examples we study special classes of quantum groups: classical, dual to classical, compact or given by a certain bicrossed product construction.

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Jacek Krajczok. 2020-01-18. Coamenability of type I locally compact quantum groups. https://arxiv.org/abs/2001.06740

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