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Orbits of Positive Operators from a Differentiable Viewpoint |
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| Authors: | Corach G Maestripieri A Stojanoff D |
| Institution: | (1) Depto. de Matemática, Facultad de Ingeniería-UBA, Buenos Aires, Argentina;(2) Instituto Argentino de Matematica, CONICET, Argentina;(3) Instituto de Ciencias, UNGS, Los Polvorines, Argentina |
| Abstract: | Let
be a unital C*-algebra and G the group of units of
. A geometrical study of the action of G over the set
+ of all positive elements of
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. |
| Keywords: | closed range positive operators differential geometry Thompson components |
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