| Autor: |
Brannan, Michael, Elzinga, Floris, Harris, Samuel J, Yamashita, Makoto |
| Předmět: |
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| Zdroj: |
IMRN: International Mathematics Research Notices; Oct2023, Vol. 2023 Issue 20, p17749-17787, 39p |
| Abstrakt: |
We compare the algebras of the quantum automorphism group of finite-dimensional C |$^\ast $| -algebra |$B$| , which includes the quantum permutation group |$S_N^+$| , where |$N = \dim B$|. We show that matrix amplification and crossed products by trace-preserving actions by a finite Abelian group |$\Gamma $| lead to isomorphic |$\ast $| -algebras. This allows us to transfer various properties such as inner unitarity, Connes embeddability, and strong |$1$| -boundedness between the various algebras associated with these quantum groups. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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