Local Multipliers c*-Algebras

P. Ara, M. Mathieu

332 pages, parution le 31/12/2002

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Résumé

The theme of this book is operator theory on C*-algebras. The main novel tool employed is the concept of local multipliers. Originally devised by Elliott and Pedersen in the 1970's in order to study derivations and automorphisms, local multipliers of C*-algebras were developed into a powerful device by the present authors in the 1990's.

The book serves two purposes. The first part provides the reader - specialist and advanced graduate student alike - with a thorough introduction to the theory of local multipliers. Only a minimal knowledge of algebra and analysis is required, as the prerequisites in both non-commutative ring theory and basic C*-algebra theory are presented in the first chapter. In the second part, local multipliers are used to obtain a wealth of information on various classes of operators on C*-algebras, including (groups of) automorphisms, derivations, elementary operators, Lie isomorphisms and Lie derivations, as well as others.

Many of the results appear in print for the first time. The authors have made an effort to avoid intricate technicalities thus some of the results are not pushed to their utmost generality. Several open problems are discussed, and hints for further developments are given.

Contents

Introduction
Prerequisites
The Symmetric Algebra of Quotients and its Bounded Analogue
The Centre of the Local Multiplier Algebra
Automorphisms and Derivations
Elementary Operators and Completely Bounded Mappings
Lie Mappings and Related Operators

L'auteur - P. Ara

Universitat Autonoma de Barcelona, Bellaterra, Spain

L'auteur - M. Mathieu

The Queen's University of Belfast, UK

Caractéristiques techniques

	PAPIER
Éditeur(s)	Springer
Auteur(s)	P. Ara, M. Mathieu
Parution	31/12/2002
Nb. de pages	332
Format	630
Couverture	Relié
Poids	630g
Intérieur	Noir et Blanc
EAN13	9781852332372
ISBN13	978-1-85233-237-2