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Crossed products by actions which are locally unitary on the stabilisers
| Content Provider | Semantic Scholar |
|---|---|
| Author | Raeburn, Iain Williams, Dana P. |
| Copyright Year | 1988 |
| Abstract | Let (A, G, α) be a C∗-dynamical system with G abelian and  Hausdorff. We investigate the ideal structure of the crossed product A × G under the hypothesis that the stabiliser subgroups for the action of G on  vary continuously. We discuss a new notion of locally trivial G-space for such actions, and, dually, actions α which are locally unitarily implemented on the stabiliser groups. Our main result asserts that, when α is locally unitary in this sense and  is a locally trivial G-space, (A × G)$is a locally trivial Ĝ-space. |
| Starting Page | 385 |
| Ending Page | 431 |
| Page Count | 47 |
| File Format | PDF HTM / HTML |
| DOI | 10.1016/0022-1236(88)90106-1 |
| Alternate Webpage(s) | https://www.math.dartmouth.edu//~dana/dpwpdfs/raewil-jfa88.pdf |
| Alternate Webpage(s) | https://doi.org/10.1016/0022-1236%2888%2990106-1 |
| Volume Number | 81 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
