Orbits of Positive Operators from a Differentiable Viewpoint
Let A be a unital C*-algebra and G the group of units of A. A geometrical study of the action of G over the set A^+ of all positive elements of A is presented. The orbits of elements with closed range by this action are provided with a structure of differentiable homogeneous space with a natural c...
| Autores: | , , |
|---|---|
| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2004 |
| País: | Argentina |
| Institución: | Consejo Nacional de Investigaciones Científicas y Técnicas |
| Repositorio: | CONICET Digital (CONICET) |
| Idioma: | inglés |
| OAI Identifier: | oai:ri.conicet.gov.ar:11336/109654 |
| Acceso en línea: | http://hdl.handle.net/11336/109654 |
| Access Level: | acceso abierto |
| Palabra clave: | CLOSED RANGE POSITIVE OPERATORS DIFFERENTIAL GEOMETRY THOMPSON COMPONENTS https://purl.org/becyt/ford/1.1 https://purl.org/becyt/ford/1 |
| Sumario: | Let A be a unital C*-algebra and G the group of units of A. A geometrical study of the action of G over the set A^+ of all positive elements of A is presented. The orbits of elements with closed range by this action are provided with a structure of differentiable homogeneous space with a natural connection. The orbits are partitioned in "components" which also have a rich geometrical structure |
|---|