Crossed Product Equivalence of Quantum Automorphism Groups of Finite Dimensional C-Algebras

Michael Brannan, Floris Elzinga, Samuel J. Harris, Makoto Yamashita

Research output: Contribution to journalArticlepeer-review

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 languageEnglish (US)
Pages (from-to)17749-17787
Number of pages39
JournalInternational Mathematics Research Notices
Volume2023
Issue number20
DOIs
StatePublished - Oct 1 2023

ASJC Scopus subject areas

  • General Mathematics

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