Simplicity, primitivity and semiprimitivity of etale groupoid algebras with applications to inverse semigroup algebras
Steinberg, Benjamin
Rings and Algebras
Category Theory
Group Theory
Operator Algebras
Representation Theory
20M18, 20M25, 16S99, 16S36, 22A22, 18F20
Original · EN
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.
English translation
This paper has no Arabic translation yet. Be the first: it takes a few seconds, and the result is stored for every future reader.