Borel morphism

Definition 0.1   Let $ {\mathbb{G}}_B$ and $ {\mathbb{G}}_B$ * be two groupoids whose object spaces are Borel. An algebraic morphism from $ {\mathbb{G}}_B$ to $ {\mathbb{G}}_B$ * is defined as a left action of $ {\mathbb{G}}_B$ on $ {\mathbb{G}}_B$ * which commutes with the multiplication on $ {\mathbb{G}}_B$ . Such an algebraic morphism between Borel groupoids is said to be a Borel morphism if the action of $ {\mathbb{G}}_B$ on $ {\mathbb{G}}_B$ * is Borel (viz. ref. [1])

Bibliography

1
M.R. Buneci. 2006., Groupoid C*-Algebras., Surveys in Mathematics and its Applications, Volume 1: 71-98.



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