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

100%

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].

Conditions for strong Morita equivalence of partially ordered semigroups

100%

Tart L.

Open Mathematics

2011

tom 9

nr 5

1100-1113

We investigate when a partially ordered semigroup (with various types of local units) is strongly Morita equivalent to a posemigroup from a given class of partially ordered semigroups. Necessary and sufficient conditions for such equivalence are obtained for a series of well-known classes of posemigroups. A number of sufficient conditions for several classes of naturally ordered posemigroups are also provided.

Ograniczanie wyników

2 Open Mathematics

1 Joiţa M.

1 Tart L.

1 2011

1 2009

Wyniki wyszukiwania

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

Conditions for strong Morita equivalence of partially ordered semigroups