Theory of operator algebras I. 2nd printing of the 1979 ed. (English) Zbl 0990.46034

Takesaki, M.

Encyclopaedia of Mathematical Sciences 124. Operator Algebras and Non-Commutative Geometry 5. Berlin: Springer (ISBN 3-540-42248-X/hbk). xix, 415 p. (2002).

This is an unaltered 2nd printing of the first edition of 1979 (Zbl 0436.46043) to constitute the fifth of the Encyclopedia of Mathematical Sciences subseries on operator algebras and non-commutative geometry. The first four books have not yet been published. The sub-editors have included a preface about developments broached in 1980 at Kingston, Ontario [see R. V. Kadison (ed.), “Operator algebras and applications”, Proc. Symp. Pure Math. 38 (1982; Zbl 0488.00012)] and on further post-Kingston developments which should be dealt with in other volumes.

Reviewer: Aubrey Wulfsohn (Coventry)

MSC:

46L05	General theory of \(C^*\)-algebras
46-02	Research exposition (monographs, survey articles) pertaining to functional analysis
46L10	General theory of von Neumann algebras
46L35	Classifications of \(C^*\)-algebras
46L45	Decomposition theory for \(C^*\)-algebras
46L51	Noncommutative measure and integration
46L53	Noncommutative probability and statistics
46L54	Free probability and free operator algebras
46L80	\(K\)-theory and operator algebras (including cyclic theory)

Keywords:

von Neumann algebra; C*-algebra; non-commutative geometry

Citations:

Zbl 0436.46043; Zbl 0488.00012