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Frames on Graphs and Corresponding von Neumann Algebras


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  • Product Description

In this monograph, we consider the framing process on given graphs. For a fixed graph, we put a frame on it. Such a frame is determined to be an independent mathematical structure (possibly other than graphs). In particular, we frame a graph with measure spaces and groups. This framing technique can be extendable to frame other mathematical structures; for instance, rings, fields, (topological vector) spaces, operator algebra, or operator spaces, etc. Here, we restrict our interests to the cases where the frames are either measure spaces or groups. In Part 1 through Part 3, we investigate the measure-space framing: Part 1 shows the fundamental properties of the measure- space framing, and Part 2 provides the biggest application for the measure-space framing; the free stochastic integration. Part 3 is the extension of Part 1 to the groupoid dynamical systems. In Part 4, we concentrate on the group-framing on graphs. The basic properties are studied. As application, we briefly mention about free-group-framing, and distorted histories.

Product Specifications
SKU :COC46504
Number of Pages84
Publishing Year2010-02-26T00:00:00.000
Edition1 st
Book TypeMathematics
Country of ManufactureIndia
Product BrandVDM Verlag Dr. Müller
Product Packaging InfoBox
In The Box1 Piece
Product First Available On ClickOnCare.com2015-03-08 00:00:00
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