Annals of Functional Analysis

Isomorphisms of discrete multiplier Hopf $C^*$-bialgebras: the nontracial case

Dan Z. Kucerovsky

Full-text: Open access

Abstract

We construct Hopf algebra isomorphisms of discrete (multiplier) Hopf $C^*$-bialgebras from $K$-theoretical data, without assuming that the Haar weight is tracial.

Article information

Source
Ann. Funct. Anal. Volume 6, Number 3 (2015), 166-175.

Dates
First available in Project Euclid: 17 April 2015

Permanent link to this document
https://projecteuclid.org/euclid.afa/1429286040

Digital Object Identifier
doi:10.15352/afa/06-3-14

Mathematical Reviews number (MathSciNet)
MR3336913

Zentralblatt MATH identifier
1335.46062

Subjects
Primary: 46L80: $K$-theory and operator algebras (including cyclic theory) [See also 18F25, 19Kxx, 46M20, 55Rxx, 58J22]
Secondary: 16W30 17B37: Quantum groups (quantized enveloping algebras) and related deformations [See also 16T20, 20G42, 81R50, 82B23]

Keywords
Hopf algebra $C^*$-algebra $K$-theory fusion ring

Citation

Kucerovsky, Dan Z. Isomorphisms of discrete multiplier Hopf $C^*$-bialgebras: the nontracial case. Ann. Funct. Anal. 6 (2015), no. 3, 166--175. doi:10.15352/afa/06-3-14. https://projecteuclid.org/euclid.afa/1429286040


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