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

• Autorzy: Maria Joiţa
• Języki publikacji: EN

Abstrakty

EN

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].

Słowa kluczowe

EN

Group actions; Strong Morita equivalence; Pro-C *-algebras; Hilbert modules

Kategorie tematyczne

• 46L05: General theory of C * -algebras
• 46L08: C * -modules
• 46L55: Noncommutative dynamical systems

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2009
• Tom: 7
• Numer: 1
• Strony: 73-83

Daty

wydano

2009-03-01

online

2009-01-10

Twórcy

autor

Maria Joiţa

• Department of Mathematics, University of Bucharest, Bucharest, Romania

Bibliografia

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• [8] Joiţa M., On the linking algebra of a Hilbert module and strong Morita equivalence of locally C *-algebras, Surv. Math. Appl., 2006, 1, 23–32
• [9] Joiţa M., A note on Morita equivalence of group actions on pro-C *-algebras, Rocky Mountain J. Math., to appear
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Identyfikatory

DOI

10.2478/s11533-008-0057-1