Fell-Bündel und verallgemeinerte L1-algebren
The relation between cross-sectional algebras of homogeneous Banach-∗-algebraic bundles in the sense of Fell [5] and generalized L1-algebras, as defined in slightly different ways by Leptin [7], Busby and Smith [2], and others, has been studied by Busby in [3]. We give an extension of his result, us...
Saved in:
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| Format: | Article (Journal) |
| Language: | German |
| Published: |
29 June 2004
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| In: |
Journal of functional analysis
Year: 1976, Volume: 22, Issue: 4, Pages: 323-345 |
| ISSN: | 1096-0783 |
| DOI: | 10.1016/0022-1236(76)90001-X |
| Online Access: | Verlag, kostenfrei, Volltext: http://dx.doi.org/10.1016/0022-1236(76)90001-X Verlag, kostenfrei, Volltext: http://www.sciencedirect.com/science/article/pii/002212367690001X 
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| Author Notes: | Michael Leinert |
MARC
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| 520 | |a The relation between cross-sectional algebras of homogeneous Banach-∗-algebraic bundles in the sense of Fell [5] and generalized L1-algebras, as defined in slightly different ways by Leptin [7], Busby and Smith [2], and others, has been studied by Busby in [3]. We give an extension of his result, using a different method for obtaining topological group extensions. Instead of first constructing the abstract group extension from the given factor system and then topologizing it, we work in a natural topological setting and define a topological group which turns out to be the group extension belonging to the given factor system. As a consequence we obtain (without separability assumptions) that for any measurable factor system of a locally compact group with values in some other locally compact group the corresponding abstract group extension can be topologized to give a topological (and hence locally compact) group extension. | ||
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