Discrete \(C^*\)-coactions and \(C^*\)-algebraic bundles. (English) Zbl 0851.46047
Summary: Discrete \(C^*\)-coactions are shown to be equivalent to discrete \(C^*\)-algebraic bundles. Simplicity, primeness, liminality, postliminality, and nuclearity are related to the fixed point algebra and the cocrossed product. Ergodic, and more generally homogeneous, \(C^*\)-coactions are characterized.
MSC:
| 46L55 | Noncommutative dynamical systems |
| 46M20 | Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) |
