Abstract
We compare the algebras of the quantum automorphism group of finite-dimensional C-algebra, which includes the quantum permutation group, where. We show that matrix amplification and crossed products by trace-preserving actions by a finite Abelian group lead to isomorphic -algebras. This allows us to transfer various properties such as inner unitarity, Connes embeddability, and strong -boundedness between the various algebras associated with these quantum groups.
Original language | English (US) |
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Pages (from-to) | 17749-17787 |
Number of pages | 39 |
Journal | International Mathematics Research Notices |
Volume | 2023 |
Issue number | 20 |
DOIs | |
State | Published - Oct 1 2023 |
ASJC Scopus subject areas
- General Mathematics