Embedding ergodic actions of compact quantum groups on C*-algebras into\n quotient spaces

2006/04/13 by Claudia Pinzari, Pinzari, Claudia
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Functional Analysis (math.FA) #Noncommutative and Quantum Gravity Theories #Operator Algebras (math.OA)

paper · pdf · doi:10.48550/arxiv.math/0604308

openalex publication_date 2006/04/13 · openalex created_date 2022/10/03 · openalex updated_date 2026/07/28

Abstract

The notion of compact quantum subgroup is revisited and an alternative\ndefinition is given. Induced representations are considered and a Frobenius\nreciprocity theorem is obtained. A relationship between ergodic actions of\ncompact quantum groups on C*-algebras and topological transitivity is\ninvestigated. A sufficient condition for embedding such actions in quantum\nquotient spaces is obtained.\n

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