GNS
GNS GNS can refer to: The Institute of Geological ... Intelligence Agency's GEOnet Names Server The GNS Theory of roleplaying gamers and game design ... on the American Stock Exchange For the GNS construction see Gelfand–Naimark theorem. This page concerning ...
http://en.wikipedia.org/wiki/GNS - 1k - Cached - Similar pages

Gelfand-Naimark-Segal construction
Gelfand-Naimark-Segal construction In functional analysis, given a C*-algebra A, the GNS construction establishes a correspondence between cyclic *-representations of ... The correspondence is shown by an explicit construction of the *-representation from the state. The content of the GNS construction is contained in the second ...
http://en.wikipedia.org/wiki/Gelfand-Naimark-Segal_construction - 11k - Cached - Similar pages

Socially necessary first cost   (translated from German)
... scientific-technologic advancement. The use of standardized construction units in production and the variety of ...
http://de.wikipedia.org/wiki/Gesellschaftlich_notwendige_Selbstkosten - 17k - Cached (German) - Wikipedia (German) - Similar pages

Gelfand–Naimark theorem
... irreducible representation associated to f by the GNS construction. Thus the Gelfand–Naimark representation acts on the ... and f(−x* x) < 0. Consider the GNS representation π f with cyclic vector ξ ... ≠ 0. Injectivity of π follows. The construction of Gelfand–Naimark representation depends only on the GNS construction and therefore it is meaningful ...
http://en.wikipedia.org/wiki/Gelfand–Naimark_theorem - 7k - Cached - Similar pages

Subfactor
... the representation of N obtained from the GNS construction of the trace of M. The Jones ... 2.618..., 3, 3.247..., ... The basic construction Suppose that N is a subfactor of ... both are finite von Neumann algebras. The GNS construction produces a Hilbert space L 2 ( ...
http://en.wikipedia.org/wiki/Subfactor - 5k - Cached - Similar pages

Spectrum of a C*-algebra
... π is weakly contained in S. The GNS construction is a recipe for associating states of ... of the basic theorems associated to the GNS construction, a state f is pure iff the ... rightarrow \hat{A} given by the GNS construction is continuous and open. The ...
http://en.wikipedia.org/wiki/Spectrum_of_a_C*-algebra - 19k - Cached - Similar pages

Talk:Locally compact space
... Naimark Segal". Specifically, the Gelfand Naimark Segal construction takes a C* algebra and an element ... but this is again different from the GNS theorem — although I wouldn't be surprised if the GNS theorem couldn't be made a corollary ... if the generalisations made use of the GNS construction. Still, the basic idea seems clear: ...
http://en.wikipedia.org/wiki/Talk:Locally_compact_space - 18k - Cached - Similar pages

C-star-algebra   (translated from French)
... x)) = f(\sigma (x))Construction GNS One must in Gelfand, Naimark and Segal the construction of an isometric isomorphism (or faithful representation ... the study operators on a hilbert by construction GNS. K-theory : Tools of K-theory, ...
http://fr.wikipedia.org/wiki/C-étoile-algèbre - 8k - Cached (French) - Wikipedia (French) - Similar pages

Talk:Mathematical formulation of quantum mechanics/archive 2
... 2004 (UTC) The weyl relations and the GNS construction? Anyway, you seem to know more than ... course there is the wikipedia article on GNS construction. Yes, but that is not C-star ...
http://en.wikipedia.org/wiki/Talk:Mathematical_formulation_of_quantum_mechanics/archive_2 - 53k - Cached - Similar pages

Von Neumann algebra
... then (av,v) gives a state. This construction can be reversed to give an action ... from a state: this is called the GNS construction. Amenable von Neumann algebras Connes and others ...
http://en.wikipedia.org/wiki/Von_Neumann_algebra - 29k - Cached - Similar pages