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Distorted Histories (Paperback)
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Distorted Histories (Paperback)
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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.
General
Imprint: |
VDM Verlag
|
Country of origin: |
Germany |
Release date: |
October 2009 |
First published: |
October 2009 |
Authors: |
Ilwoo Cho
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Dimensions: |
229 x 152 x 4mm (L x W x T) |
Format: |
Paperback - Trade
|
Pages: |
68 |
ISBN-13: |
978-3-639-21083-5 |
Categories: |
Books >
Science & Mathematics >
Mathematics >
General
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LSN: |
3-639-21083-2 |
Barcode: |
9783639210835 |
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