Isomorphisms and Automorphisms of Discrete Multiplier Hopf C*-algebras

2014/06/10 by Dan Kučerovský, Dan Z. Kučerovský, Kučerovský, Dan Z.
Mathematics · #16T05 #47L80 #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Operator Algebras (math.OA) #math.OA #msc:16T05 #msc:47L80

paper · pdf · doi:10.48550/arxiv.1406.2527

to appear, Positivity

arxiv created 2014/06/10 · openalex publication_date 2014/06/10 · arxiv updated 2014/06/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We construct Hopf algebra isomorphisms of discrete multiplier Hopf C*-algebras, and Hopf AF C*-algebras (generalized quantum UHF algebras), from K-theoretical data. Some of the intermediate results are of independent interest, such as a result that Jordan maps of Hopf algebras intertwine antipodes, and the applications to automorphisms of Hopf algebras.

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