Distorted Histories
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About the Book
The main purpose of this monograph is to show the existence of distortions of histories, and analyze the distorted histories in operator-algebraic points of view. We provide two types of distortions occured by some finite number of objects. In dynamical systems, we define a history by a pair, consisting of a type I factor, and an E_0-group with some additional conditions. We distort the given history by a finite number of partial isometries. Two types of distortions can happen: inner distortions, and outer distortions. The fundamental properties of distorted histories are characterized. We also study the operator algebras generated by distorted histories. Also, by comparing operator algebras generated by histories and those generated by distorted histories, we investigate the differences between them. As application, we observe the fractally distorted histories, which are one type of the ``patterned'' distorted histories.
Book Details
ISBN-13: 9783639210835
EAN: 9783639210835
Publisher Date: 28 Oct 2009
Height: 225 mm
PrintOnDemand: Y
Width: 150 mm
ISBN-10: 3639210832
Publisher: VDM Verlag
Binding: Paperback
MediaMail: Y
Returnable: N