139 research outputs found
Property and strong Property for unital -algebras
In this paper, we will give a thorough study of the notion of Property
for -algebras (as introduced by M.B. Bekka in \cite{Bek-T}) as well as a
slight stronger version of it, called "strong property " (which is also an
analogue of the corresponding concept in the case of discrete groups and type
-factors). More precisely, we will give some interesting equivalent
formulations as well as some permanence properties for both property and
strong property . We will also relate them to certain -type
properties of the unitary group of the underlying -algebra
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