Muhly, Paul S.; Renault, Jean N.; Williams, Dana P. Equivalence and isomorphism for groupoid \(C^*\)-algebras. (English) Zbl 0645.46040 J. Oper. Theory 17, 3-22 (1987). The authors give a detailed, self-contained account of the relation that exist between the notion “equivalence of groupoids” and “strong Morita equivalence of groupoid \(C^*\)-algebras” that was developed by J. Renault [Proc. Sympos. Pure Math. 38, Part 1, 339-350 (1982; Zbl 0501.46054)]. In addition they generalize to groupoid \(C^*\)-algebras some results of P. Green [J. Funct. Anal. 36, 88-104 (1980; Zbl 0422.46048)] concerning the structure of the \(C^*\)-algebra of a transitive transformation group. Reviewer: A.G.Baskakov Cited in 5 ReviewsCited in 119 Documents MSC: 46L05 General theory of \(C^*\)-algebras Keywords:equivalence of groupoids; strong Morita equivalence of groupoid \(C^*\)- algebras; structure of the \(C^*\)-algebra of a transitive transformation group Citations:Zbl 0501.46054; Zbl 0422.46048 PDFBibTeX XMLCite \textit{P. S. Muhly} et al., J. Oper. Theory 17, 3--22 (1987; Zbl 0645.46040)