Compact quantum group structures on type-I -algebras
Alexandru Chirvasitu
University at Buffalo, USAJacek Krajczok
University of Glasgow, UKPiotr M. Sołtan
University of Warsaw, Poland
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Abstract
We prove a number of results having to do with equipping type-I -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 -algebra in question is an extension of a non-zero finite direct sum of elementary -algebras by a commutative unital -algebra then it must be finite-dimensional.
Cite this article
Alexandru Chirvasitu, Jacek Krajczok, Piotr M. Sołtan, Compact quantum group structures on type-I -algebras. J. Noncommut. Geom. 17 (2023), no. 3, pp. 1129–1143
DOI 10.4171/JNCG/516