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Isomorphisms and automorphisms of discrete multiplier Hopf C*-algebras

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Abstract

We construct Hopf algebra isomorphisms of discrete multiplier Hopf C*-algebras, and Hopf AF C*-algebras (generalized quantum UHF algebras), from \(\displaystyle K\)-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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Notes

  1. The antipodes are involutive if the Haar weights are tracial [6, Prop.4.8b].

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Authors and Affiliations

  1. UNB-F, Fredericton , E3B 5A3, Canada

    Dan Z. Kučerovský

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  1. Dan Z. Kučerovský
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Correspondence to Dan Z. Kučerovský.

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We thank NSERC for financial support.

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Kučerovský, D.Z. Isomorphisms and automorphisms of discrete multiplier Hopf C*-algebras. Positivity 19, 161–175 (2015). https://doi.org/10.1007/s11117-014-0290-8

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