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Borel morphism
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(Definition)
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Definition 0.1 Let $\grp_B$ and $\grp_B$ * be two groupoids whose object spaces are Borel. An algebraic morphism from $\grp_B$ to $\grp_B$ * is defined as a left action of $\grp_B$ on $\grp_B$ * which commutes with the multiplication on $\grp_B$ . Such an algebraic morphism between Borel groupoids is said to be a Borel morphism if the action of $\grp_B$ on $\grp_B$ * is Borel ( viz. ref. [ 1])
- 1
- M.R. Buneci. 2006., Groupoid C*-Algebras., Surveys in Mathematics and its Applications, Volume 1: 71-98.
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"Borel morphism" is owned by bci1.
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Cross-references: viz, action, Borel groupoids, multiplication, left action, object, groupoids
There are 4 references to this entry.
This is version 8 of Borel morphism, born on 2008-09-15, modified 2009-02-04.
Object id is 11039, canonical name is BorelMorphism.
Accessed 831 times total.
Classification:
| AMS MSC: | 28A05 (Measure and integration :: Classical measure theory :: Classes of sets , measurable sets, Suslin sets, analytic sets) | | | 54H05 (General topology :: Connections with other structures, applications :: Descriptive set theory ) | | | 28C15 (Measure and integration :: Set functions and measures on spaces with additional structure :: Set functions and measures on topological spaces ) | | | 28A12 (Measure and integration :: Classical measure theory :: Contents, measures, outer measures, capacities) | | | 60A10 (Probability theory and stochastic processes :: Foundations of probability theory :: Probabilistic measure theory) |
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Pending Errata and Addenda
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