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Stable outer conjugacy and strong Morita equivalence of group actions on pro-C *-algebras

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Joiţa M.

Open Mathematics

2009

tom 7

nr 1

73-83

We show that two continuous inverse limit actions α and β of a locally compact group G on two pro-C *-algebras A and B are stably outer conjugate if and only if there is a full Hilbert A-module E and a continuous action u of G on E such that E and E *(the dual module of E) are countably generated in M(E)(the multiplier module of E), respectively M(E *) and the pair (E, u) implements a strong Morita equivalence between α and β. This is a generalization of a result of F. Combes [Proc. London Math. Soc. 49(1984), 289–306].

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1 Open Mathematics

1 Joiţa M.

1 2009

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Stable outer conjugacy and strong Morita equivalence of group actions on pro-C *-algebras