Amenable discrete quantum groups

• Tomatsu Reiji

  Department of Mathematical Sciences, University of Tokyo

抄録

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.

収録刊行物

• Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｍａｔｈｅｍａｔｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ

  Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｍａｔｈｅｍａｔｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ 58 (4), 949-964, 2006

  一般社団法人 日本数学会

キーワード

• amenability
• quantum groups

詳細情報

• CRID: 1390001205116601216
• NII論文ID: 10018380706
• NII書誌ID: AA0070177X
• DOI: 10.2969/jmsj/1179759531
• ISSN: 18811167
• ISSN: 18812333
• ISSN: 00255645
• MRID: 2276175
• NDL書誌ID: 8512807
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I8512807
• 本文言語コード: en
• データソース種別:
  • JaLC
  • NDL
  • Crossref
  • CiNii Articles
  • KAKEN
• 抄録ライセンスフラグ: 使用不可