Mohlo by sa vám tiež páčiť

Viac informácií o knihe Real W*-algebras, Actions of groups and Index theory for real factors

• Parametre knihy
• Anotácia kniha
• Obľúbené z iného súdka

Nákupom získate 188 bodov

Anotácia knihy

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.

Parametre knihy

Zaradenie knihy Knihy po anglicky Mathematics & science Mathematics Calculus & mathematical analysis

• Celý názov: Real W*-algebras, Actions of groups and Index theory for real factors
• Autor: Shavkat Ayupov, Abdugafur Rakhimov
• Jazyk: Angličtina
• Väzba: Brožovaná
• Počet strán: 148
• EAN: 9783639290660
• ISBN: 3639290666
• ID: 06836175
• Nakladateľ: VDM Verlag
• Hmotnosť: 227 g
• Rozmery: 229 × 152 × 9 mm
• Dátum vydania: 11. November 2010

Obľúbené z iného súdka

---

---

---