On a groupoid Gelfand pair. (English) Zbl 1190.22004
Let \(G\) be a metrizable locally compact groupoid and let \(K\) be a compact subgroup in the group \(\operatorname{Aut}(G)\) of automorphisms of \(G\). In the present paper the authors give some characterizations of a groupoid Gelfand pair which generalize some results of C. Benson, J. Jenkins and G. Ratcliff [Trans. Am. Math. Soc. 321, No. 1, 85–116 (1990; Zbl 0704.22006)].
Reviewer: Sh. A. Ayupov (Tashkent)
MSC:
22A22 | Topological groupoids (including differentiable and Lie groupoids) |
58H05 | Pseudogroups and differentiable groupoids |
22E10 | General properties and structure of complex Lie groups |