Infinitesimally homogeneous spaces
โ Scribed by I. M. Singer
- Publisher
- John Wiley and Sons
- Year
- 1960
- Tongue
- English
- Weight
- 677 KB
- Volume
- 13
- Category
- Article
- ISSN
- 0010-3640
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๐ SIMILAR VOLUMES
We study properties of C\*-algebraic deformations of homogeneous spaces G/C which are equivariant in the sense that they preserve the natural action of G by left translation. The center is shown to be isomorphic to C(G/G 0 r ) for a certain subgroup G 0 r of G, and there is a 1-1 correspondence betw
C\*-algebraic deformations of homogeneous spaces Gร1 are constructed by completing dense subspaces of C 0 (Gร1 ) in a different multiplication and C\*-norm; these deformations are equivariant in the sense that they still carry a natural action of G by left translation. The motivating examples are th
If every isomorphism from S$ to S" can be extended to an automorphism of S, S is called ultrahomogeneous. We give a complete classification of all homogeneous (resp. ultrahomogeneous) linear spaces, without making any finiteness assumption on the number of points of S.