Ergodic actions by compact groups onC*-algebras
✍ Scribed by Sergio Albeverio; Raphael Høegh-Krohn
- Publisher
- Springer-Verlag
- Year
- 1980
- Tongue
- French
- Weight
- 899 KB
- Volume
- 174
- Category
- Article
- ISSN
- 0025-5874
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📜 SIMILAR VOLUMES
Suppose that (G, T ) is a second countable locally compact transformation group given by a homomorphism l: G Ä Homeo(T ), and that A is a separable continuous-trace C\*-algebra with spectrum T. An action :: G Ä Aut(A) is said to cover l if the induced action of G on T coincides with the original one
Let K be a compact Lie group and X a real algebraic (or real analytic) K-variety. We find conditions under which the quotient X/K is again algebraic (real analytic), and we compare properties of X and X/K, including coherence and smoothness. For example, if L is a closed subgroup of K and A is a rea