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NONUNIMODULAR RING GROUPS AND HOPF-VON NEUMANN ALGEBRAS
- Source :
- Mathematics of the USSR-Sbornik. 23:185-214
- Publication Year :
- 1974
- Publisher :
- IOP Publishing, 1974.
-
Abstract
- A number of authors have introduced ring groups as objects generalizing locally compact groups. An analogue of the Pontrjagin principle of duality holds for ring groups. In this paper we introduce a wider class of ring groups, one including the locally compact groups.A construction is given whereby to each ring group there is defined a dual ring group ; here . By definition a ring group is determined by a -algebra (the space of the ring group) equipped with an additional structure which allows to be considered, in particular, as a Hopf-von Neumann algebra. When is a locally compact group, is the -algebra of bounded measurable functions on , considered in the natural way as operators in .Bibliography: 15 items.
Details
- ISSN :
- 00255734
- Volume :
- 23
- Database :
- OpenAIRE
- Journal :
- Mathematics of the USSR-Sbornik
- Accession number :
- edsair.doi...........07872dada5cae291d8fdf6846fb9287f