2012年6月
On Polish Groups of Finite Type
PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES
- ,
- 巻
- 48
- 号
- 2
- 開始ページ
- 389
- 終了ページ
- 408
- 記述言語
- 英語
- 掲載種別
- 研究論文(学術雑誌)
- DOI
- 10.2977/PRIMS/73
- 出版者・発行元
- KYOTO UNIV
Sorin Popa initiated the study of Polish groups which are embeddable into the unitary group of a separable finite von Neumann algebra. Such groups are called of finite type or said to belong to the class U-fin. We give necessary and sufficient conditions for Polish groups to be of finite type, and construct examples of such groups for I-infinity and II infinity von Neumann algebras. We also discuss permanence properties of finite type groups under various algebraic operations. We close the paper with some questions concerning such groups.
- リンク情報
- ID情報
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- DOI : 10.2977/PRIMS/73
- ISSN : 0034-5318
- Web of Science ID : WOS:000307148400005