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Theory of operator algebras I. 2nd printing of the 1979 ed. (English) Zbl 0990.46034
Encyclopaedia of Mathematical Sciences. Operator Algebras and Non-Commutative Geometry. 124(5). Berlin: Springer. xix, 415 p. DM 203.19; sFr. 175.48; £70.00; $ 109.00 (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.

MSC:
46L05General theory of C * -algebras
46-02Research monographs (functional analysis)
46L10General theory of von Neumann algebras
46L35Classifications of C * -algebras
46L45Decomposition theory for C * -algebras
46L51Noncommutative measure and integration
46L53Noncommutative probability and statistics
46L54Free probability and free operator algebras
46L80K-theory and operator algebras