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Quantum bohr compactification of discrete quantum groups

2006/04/28 by Piotr M. Sołtan, Sołtan, P. M.
Mathematics · Physics and Astronomy · #22D25 #43A40 #43A60 #46L89 #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Noncommutative and Quantum Gravity Theories #Operator Algebras (math.OA)

paper · pdf · doi:10.48550/arxiv.math/0604623

openalex publication_date 2006/04/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We introduce the analog of Bohr compactification for discrete quantum groups on C*-algebra level. The cases of unimodular and general C*-algebraic discrete quantum groups are treated separately. The passage from the former case to the latter is done with help of the concept of canonical Kac quotient for compact quantum groups\footnotemark. Several examples are presented and passage to the Bohr compactification is investigated.

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