1993/05/11 by Alexandru Nica, Nica, Alexandru
Mathematics · #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Functional Analysis (math.FA) #Geometric and Algebraic Topology #Operator Algebras (math.OA)
paper · pdf · doi:10.48550/arxiv.funct-an/9305001
openalex publication_date 1993/05/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We consider a version of the notion of F-inverse semigroup (studied in the algebraic theory of inverse semigroups). We point out that an action of such an inverse semigroup on a locally compact space has associated a natural groupoid construction, very similar to the one of a transformation group. We discuss examples related to Toeplitz algebras on subsemigroups of discrete groups,to Cuntz-Krieger algebras, and to crossed-products by partial automorphisms in the sense of Exel.