منابع مشابه
An Example of a Solid Von Neumann Algebra
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In this essay we construct a noncommutative von Neumann dynamical system with certain pathological properties from the viewpoint of analogies with classical ergodic theory. These relate to obstructions to the existence of special kinds of subsystem or subextension. We will build our example as an extension of a commutative dynamical system via a unitary cocycle acting on a Hilbert bundle, and w...
متن کاملVon Neumann Algebra of Baumslag Group Embeds
In this paper we analyze the structure of some sets of non-commutative moments of elements in a finite von Neumann algebra M . If the fundamental group of M is R+\{0}, then the moment sets are convex, and if M is isomorphic to M ⊗M , then the sets are closed under pointwise multiplication. We introduce a class of discrete groups that we call hyperlinear. These are the discrete subgroups (with i...
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ژورنال
عنوان ژورنال: Hokkaido Mathematical Journal
سال: 2009
ISSN: 0385-4035
DOI: 10.14492/hokmj/1258553976