Real W*-algebras, Actions of groups and Index theory for real factors kitap kapağı
Kitap başlığı:

Real W*-algebras, Actions of groups and Index theory for real factors

Real operator algebras

VDM Verlag Dr. Müller (2010-11-11 )

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ISBN-13:

978-3-639-29066-0

ISBN-10:
3639290666
EAN:
9783639290660
Kitabın dili:
İngilizce
Özet:
The monograph is devoted to the real counterpart of the theory of operator algebras, namely to the theory of real W*-algebras. We develop a real analogue of index theory for subfactors of W*- factors and study actions of various kinds of groups (finite, discrete, amenable, abelian, compact) on different types of real W*-algebras. An abstract (non spatial) generalization of real W*-algebra - so called real AW*-algebras are also investigated. These algebras present a real counterpart of Kaplansky algebras - complex AW*-algebras. Type decomposition for real AW*-algebras is obtained and relation between types of a real AW*-algebra and its enveloping complex AW*-algebra is investigated. Unbounded extensions of real W*-algebras are introduced in an abstract algebraic manner in terms of real partially ordered involutory algebras - real O*-algebras. We prove a representation theorem for abstract real O*-algebras as algebras of locally measurable operators affiliated with a real W*- algebra. One of the main tools in investigation of the above problems is the reduction to the complex enveloping algebras and their involutive *- antiautomorphisms.
Yayınevi:
VDM Verlag Dr. Müller
Websitesi:
http://www.vdm-verlag.de
Yazar:
Shavkat Ayupov, Abdugafur Rakhimov
Sayfa sayısı:
148
Yayın tarihi:
2010-11-11
Hisse:
Mevcut
Kategori:
Analiz
Fiyat:
59.00 €
Anahtar kelimeler:
von Neumann algebras; real W*-algebras; real factors; index of subfactor; real AW*-algebras; O*-algebras; measurable operators.

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