Crossed products of locally C*-algebras and Morita equivalence

Details Crossed products of locally C*-algebras and Morita equivalence Crossed products of locally C*-algebras and Morita equivalence

2007-05-25

arxiv.org/abs/0705.3810v2

Mathematics

Operator Algebras

25 pages, presented at: ICM 2006, Section "Operator Algebras and Functional Analysis, minor corrections

Scientific paper

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).

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