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- W4300893170 abstract "We study the topological structure of the automorphism groups of compact quantum groups showing that, in parallel to a classical result due to Iwasawa, the connected component of identity of the automorphism group and of the inner automorphism group coincide. For compact matrix quantum groups, which can be thought of as quantum analogues of compact Lie groups, we prove that the inner automorphism group is a compact Lie group and the outer automorphism group is discrete. Applications of this to the study of group actions on compact quantum groups are highlighted. We end with the construction of a compact matrix quantum group whose fusion ring is not finitely generated, unlike the classical case." @default.
- W4300893170 created "2022-10-04" @default.
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- W4300893170 date "2017-01-14" @default.
- W4300893170 modified "2023-10-16" @default.
- W4300893170 title "Topological automorphism groups of compact quantum groups" @default.
- W4300893170 doi "https://doi.org/10.48550/arxiv.1701.03885" @default.
- W4300893170 hasPublicationYear "2017" @default.
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