Borel morphism
Definition 0.1.
Let and * be two groupoids whose object spaces are Borel. An algebraic morphism from to * is defined as a left action of on * which commutes with the multiplication on . Such an algebraic morphism between Borel groupoids is said to be a Borel morphism if the action of on * is Borel (viz. ref. [1])
References
- 1 M.R. Buneci. 2006., http://www.utgjiu.ro/math/mbuneci/preprint/p0024.pdfGroupoid C*-Algebras., Surveys in Mathematics and its Applications, Volume 1: 71–98.
Title | Borel morphism |
Canonical name | BorelMorphism |
Date of creation | 2013-03-22 18:23:36 |
Last modified on | 2013-03-22 18:23:36 |
Owner | bci1 (20947) |
Last modified by | bci1 (20947) |
Numerical id | 12 |
Author | bci1 (20947) |
Entry type | Definition |
Classification | msc 60A10 |
Classification | msc 28A12 |
Classification | msc 28C15 |
Classification | msc 54H05 |
Classification | msc 28A05 |
Related topic | BorelSpace |
Related topic | Groupoids |
Related topic | CategoryOfBorelSpaces |
Related topic | MeasurableFunctions |
Related topic | BorelMeasure |
Defines | algebraic morphism |