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Isomorphisms and automorphisms of discrete multiplier Hopf C*-algebras

Research paper by Dan Z. Kučerovský

Indexed on: 04 Jun '14Published on: 04 Jun '14Published in: Positivity



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.