The amenability of the universal groupoids of a Clifford semigroup

نویسندگان

1 Department of Mathematics, University of Qom, Qom, Iran

2 Department of Mathematics, University of Qom, Qom, Iran

doi
10.22091/maa.2023.9500.1006
چکیده

We show that there is a one-to-one correspondence (up to isomorphism) between maximal subgroups of a Clifford semigroup and isotropy subgroups of its universal groupoid. We prove that a Clifford semigroup is a union of amenable subgroups if and only if its universal groupoid is amenable. We give an example of an amenable Clifford semigroup that its universal groupoid is not amenable.