A group-von-Neumann-algebra lemma and projective modules
نویسنده
چکیده
In this note we prove, for groups G fulfilling the Atiyah conjecture, a lemma relating arbitrary G-modules to free group-von-Neumann-algebra modules. As an immediate application we get properties of finitely generated pro-jective G-modules and G-modules. Other related arguments are envisaged. G; it can be defined as algebra of all (left) G-equivariant bounded linear operators on the Hilbert space 2 G. We recall that there is an (opposite algebra) imbedding of the complex group algebra G into N G by associating with a ∈ G the operator f a (right multiplication with a on 2 G). 1) A contains a free submodule A of rank m.
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تاریخ انتشار 2001