Produção Nacional
Revisado por pares
Morita equivalence of partial group actions and globalization
2015; American Mathematical Society; Volume: 368; Issue: 7 Linguagem: Inglês
10.1090/tran/6525
ISSN1088-6850
AutoresFernando Abadie, Mikhailo Dokuchaev, R. Exel, Juan Jacobo Simón,
Tópico(s)Homotopy and Cohomology in Algebraic Topology
ResumoWe consider a large class of partial actions of groups on rings, called regular, which contains all $s$-unital partial actions as well as all partial actions on $C^{\ast }$-algebras. For them the notion of Morita equivalence is introduced, and it is shown that any regular partial action is Morita equivalent to a globalizable one and that the globalization is essentially unique. It is also proved that Morita equivalent $s$-unital partial actions on rings with orthogonal local units are stably isomorphic. In addition, we show that Morita equivalent $s$-unital partial actions on commutative rings must be isomorphic, and an analogous result for $C^{\ast }$-algebras is also established.
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