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MORITA EQUIVALENCE OF PARTIAL GROUP ACTIONS AND GLOBALIZATION

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Autor(es):
Abadie, F. ; Dokuchaev, M. ; Exel, R. ; Simon, J. J.
Número total de Autores: 4
Tipo de documento: Artigo Científico
Fonte: TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY; v. 368, n. 7, p. 36-pg., 2016-07-01.
Resumo

We 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*-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*-algebras is also established. (AU)

Processo FAPESP: 09/52665-0 - Grupos, anéis e álgebras: interações e aplicações
Beneficiário:Francisco Cesar Polcino Milies
Modalidade de apoio: Auxílio à Pesquisa - Temático