Simplicity, primitivity and semiprimitivity of étale groupoid algebras with applications to inverse semigroup algebras

• Benjamin Steinberg ^[1]
  1. [1] City College of New York

     City College of New York

     Estados Unidos

     
• Localización: Journal of pure and applied algebra, ISSN 0022-4049, Vol. 220, Nº 3 (March 2016), 2016, págs. 1035-1054
• Idioma: inglés
• DOI: 10.1016/j.jpaa.2015.08.006
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• Resumen

  • This paper studies simplicity, primitivity and semiprimitivity of algebras associated to étale groupoids. Applications to inverse semigroup algebras are presented. The results also recover the semiprimitivity of Leavitt path algebras and can be used to recover the known primitivity criterion for Leavitt path algebras.