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.2023.9500.1006چکیده
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.