- Abstract:
- Let T be a dual representation of a suitable subsemigroup S of a locally compact abelian group G by isometrics on a dual Banach space X = (X*)*. It is shown that (X, T) can be extended to a dual representation of G on a dual Banach space Y containing X, and that this extension can be done in a canonical way. In the case of a representation by *-monomorphisms of a von Neumann algebra, the extension is a representation of G by *-automorphisms of a von Neumann algebra.
- Publication status:
- Published
- Publisher copy:
- 10.1112/blms/28.4.375
-
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- Journal:
- BULLETIN OF THE LONDON MATHEMATICAL SOCIETY
- Volume:
- 28
- Issue:
- 4
- Pages:
- 375-384
- Publication date:
- 1996-07-05
- DOI:
- EISSN:
-
1469-2120
- ISSN:
-
0024-6093
- URN:
-
uuid:1ae033a2-31fa-406d-a0b5-5668c53a2179
- Source identifiers:
-
7790
- Local pid:
- pubs:7790
- Language:
- English
- Copyright date:
- 1996
Journal article
Extensions of isometric dual representations of semigroups
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