| 书目名称 | Characterizing Groupoid C*-algebras of Non-Hausdorff Étale Groupoids |
| 编辑 | Ruy Exel,David R. Pitts |
| 视频video | |
| 概述 | Describes C*-algebras of non-Hausdorff etale groupoids.Introduces weak Cartan inclusions and classifies them using non-Hausdorff etale groupoids.Gives surprising examples of weak Cartan inclusions ari |
| 丛书名称 | Lecture Notes in Mathematics |
| 图书封面 |  |
| 描述 | .This book develops tools to handle C*-algebras arising as completions of convolution algebras of sections of line bundles over possibly non-Hausdorff groupoids. A fundamental result of Gelfand describes commutative C*-algebras as continuous functions on locally compact Hausdorff spaces. .Kumjian, and later Renault, showed that Gelfand‘s result can be extended to include non-commutative C*-algebras containing a commutative C*-algebra. In their setting, the C*-algebras in question may be described as the completion of convolution algebras of functions on twisted Hausdorff groupoids with respect to a certain norm. However, there are many natural settings in which the Kumjian–Renault theory does not apply, in part because the groupoids which arise are not Hausdorff. In fact, non-Hausdorff groupoids have been a source of surprising counterexamples and technical difficulties for decades. Including numerous illustrative examples, this book extends the Kumjian–Renault theory toa much broader class of C*-algebras. .This work will be of interest to researchers and graduate students in the area of groupoid C*-algebras, the interface between dynamical systems and C*-algebras, and related fiel |
| 出版日期 | Book 2022 |
| 关键词 | Groupooid C*-algebra; Fell Bundle over Inverse Semigroup; Local Module; Inclusions of C*-algebras; Etale |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-031-05513-3 |
| isbn_softcover | 978-3-031-05512-6 |
| isbn_ebook | 978-3-031-05513-3Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
| issn_series | 0075-8434 |
| copyright | Springer Nature Switzerland AG 2022 |
发表于 2025-3-21 20:00:27
