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.