Distorted Histories: Mathematical Histories Distorted by Certain Mathematical Objects - Softcover

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9783639210835: Distorted Histories: Mathematical Histories Distorted by Certain Mathematical Objects
Softcover
ISBN 10: 3639210832 ISBN 13: 9783639210835
Publisher: VDM Verlag, 2009

Synopsis

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.

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About the Author

Master Degree (Math): Sungkyunkwan Univ., and Univ. of Iowa / PhD (Math) : Univ. of Iowa / Current Position : Assistant Professor in St. Ambrose Univ., Dep. of Math (Davenport, Iowa, U. S. A.)

"About this title" may belong to another edition of this title.

Publisher
VDM Verlag
Publication date
2009
Language
English
ISBN 10 
3639210832
ISBN 13 
9783639210835
Binding
Paperback
Number of pages
68