| Softcover ISBN: | 978-2-37905-202-6 |
| Product Code: | AST/451 |
| List Price: | $63.00 |
| AMS Member Price: | $50.40 |
| Softcover ISBN: | 978-2-37905-202-6 |
| Product Code: | AST/451 |
| List Price: | $63.00 |
| AMS Member Price: | $50.40 |
-
Book DetailsAstérisqueVolume: 451; 2024; 102 ppMSC: Primary 46; 19; 58; 37; 22; 28; 31; 35
In this volume, the authors introduce a property of topological dynamical systems that they call finite dynamical complexity. For systems with this property, one can in principle compute the \( K\)-theory of the associated crossed product \(C^{∗}\)-algebra by splitting it up into simpler pieces and using the methods of controlled \(K\)-theory. The main part of the paper illustrates this idea by giving a new proof of the Baum-Connes conjecture for actions with finite dynamical complexity.
The authors have tried to keep the volume as self-contained as possible and hope the main part will be accessible to someone with the equivalent of a first course in operator \(K\)-theory. In particular, they do not assume prior knowledge of controlled \(K\)-theory and use a new and concrete model for the Baum-Connes conjecture with coefficients that requires no bivariant \(K\)-theory to set up.
A publication of the Société Mathématique de France, Marseilles (SMF), distributed by the AMS in the U.S., Canada, and Mexico. Orders from other countries should be sent to the SMF. Members of the SMF receive a 30% discount from list.
-
Additional Material
-
RequestsReview Copy – for publishers of book reviewsAccessibility – to request an alternate format of an AMS title
- Book Details
- Additional Material
- Requests
In this volume, the authors introduce a property of topological dynamical systems that they call finite dynamical complexity. For systems with this property, one can in principle compute the \( K\)-theory of the associated crossed product \(C^{∗}\)-algebra by splitting it up into simpler pieces and using the methods of controlled \(K\)-theory. The main part of the paper illustrates this idea by giving a new proof of the Baum-Connes conjecture for actions with finite dynamical complexity.
The authors have tried to keep the volume as self-contained as possible and hope the main part will be accessible to someone with the equivalent of a first course in operator \(K\)-theory. In particular, they do not assume prior knowledge of controlled \(K\)-theory and use a new and concrete model for the Baum-Connes conjecture with coefficients that requires no bivariant \(K\)-theory to set up.
A publication of the Société Mathématique de France, Marseilles (SMF), distributed by the AMS in the U.S., Canada, and Mexico. Orders from other countries should be sent to the SMF. Members of the SMF receive a 30% discount from list.
