The ideal structure of some analytic crossed products |
| |
| Authors: | Miron Shpigel |
| |
| Affiliation: | Department of Mathematics, Technion --- Israel Institute of Technology, 3200 Haifa, Israel |
| |
| Abstract: | We study the ideal structure of a class of some analytic crossed products. For an  -discrete, principal, minimal groupoid  , we consider the analytic crossed product  , where  is given by a cocycle  . We show that the maximal ideal space  of  depends on the asymptotic range of  ,  ; that is,  is homeomorphic to  for  finite, and  consists of the unique maximal ideal for  . We also prove that  is semisimple in both cases, and that  is invariant under isometric isomorphism. |
| |
| Keywords: | |
|
| 点击此处可从《Transactions of the American Mathematical Society》浏览原始摘要信息 |
|
点击此处可从《Transactions of the American Mathematical Society》下载全文 |
|
