Amenable discrete quantum groups

Reiji Tomatsu

doi:10.2969/jmsj/1179759531

Amenable discrete quantum groups

Reiji Tomatsu^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

15 Citations (Scopus)

Abstract

Z.-J. Ruan has shown that several amenability conditions are all equivalent in the case of discrete Kac algebras. In this paper, we extend this work to the case of discrete quantum groups, That is, we show that a discrete quantum group, where we do not assume its unimodularity, has an invariant mean if and only if it is strongly Voiculescu amenable.

Original language	English
Pages (from-to)	949-964
Number of pages	16
Journal	Journal of the Mathematical Society of Japan
Volume	58
Issue number	4
DOIs	https://doi.org/10.2969/jmsj/1179759531
Publication status	Published - 2006 Oct
Externally published	Yes

Keywords

Amenability
Quantum groups

ASJC Scopus subject areas

Mathematics(all)

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10.2969/jmsj/1179759531

Cite this

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Amenable discrete quantum groups

Abstract

Keywords

ASJC Scopus subject areas

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