Mathematische Lehrbücher und Monographien. II. Abteilung: Mathematische Monographien. 80. Berlin: Akademie Verlag. xviii, 460 p. (1992).
This book meets the request of people working in Mathematical Physics, at least those who are concerned with functional-analytic methods.
Part I (Fundamentals of operator algebras, $C\sp*$-algebras, von Neumann algebras, decomposition theory) provides basic material that is presumably widely known; thus it is more or less to be regarded as an introduction.
Part II as well as Part IV are related to Quantum field theory and Algebraic statistical mechanics ( nets of $C\sp*$-algebras and von Neumann algebras, quasi-local algebras, net automorphisms, causality, cluster properties, CAR and CCR algebras).
Part V deals with modular theory and (local) type III, or III-1, algebras, and nuclearity.
Part III yields a very elaborate presentation of superselection theory ( representations, intertwiners, endomorphisms), Hilbert $C\sp*$-systems, inverse superselection theory, Mackey theory.
All in all, this is a very comprehensive book.