Crossed products of locally C*-algebras and Morita equivalence

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We introduce the notion of strong Morita equivalence for group actions on locally C*-algebras and prove that the crossed products associated with two strongly Morita equivalent continuous inverse limit actions of a locally compact group G on the locally C*-algebras A and B are strongly Morita equivalent. This generalizes a result of F. Combes, Proc. London Math. Soc. 49(1984) and R. E. Curto, P.S. Muhly, D. P. Williams, Proc. Amer. Soc. 90(1984).
25 pages, presented at: ICM 2006, Section "Operator Algebras and Functional Analysis, minor corrections

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Operator Algebras, Functional Analysis, 46L08, 46L05, 46L55

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http://salesiana.dossiersoluciones.com/handle/123456789/138987

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0705.3810
 http://arxiv.org/abs/0705.3810

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arXiv