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Ellis semigroupoid |
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| Authors: | Amini Massoud Behrouzi Farid |
| Institution: | 1.Department of Mathematics, Faculty of Mathematical Sciences, Tarbiat Modares University, Tehran, 14115-134, Iran ;2.School of Mathematics, Institute for Research in Fundamental Sciences (IPM), Tehran, 19395-5746, Iran ;3.Faculty of Mathematics, Alzahra University, North Sheikh Bahaee St., Deh-e Vanak, Tehran, Iran ; |
| Abstract: | We extend the notion of the enveloping semigroup of a locally compact group to the enveloping semigroupoid of a locally compact groupopid and show that there is a universal enveloping semigroupoid which is unique up to isomorphism. As in the group case, we associate the Ellis semigroupoid to an action of a locally compact groupoid on a fibrewise compact space. We define the notion of proximality for groupoid actions and characterize it in terms of Ellis semigroupoid. |
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