Chapter 6. Comparison theory of projections
Chapter 7. Normal states and unitary equivalence of von Neumann algebras
Chapter 8. The trace
Chapter 9. Algebra and commutant
Chapter 10. Special representations of C∗-algebras
Chapter 11. Tensor products
Chapter 12. Approximation by matrix algebras
Chapter 13. Crossed products
Chapter 14. Direct integrals and decompositions

This work and Fundamentals of the Theory of Operator Algebras. Volume I, Elementary Theory present an introduction to functional analysis and the initial fundamentals of C∗- and von Neumann algebra theory in a form suitable for both intermediate graduate courses and self-study. The authors provide a clear account of the introductory portions of this important and technically difficult subject. Major concepts are sometimes presented from several points of view; the account is leisurely when brevity would compromise clarity. An unusual feature in a text at this level is the extent to which it is self-contained; for example, it introduces all the elementary functional analysis needed. The emphasis is on teaching. Well supplied with exercises, the text assumes only basic measure theory and topology. The book presents the possibility for the design of numerous courses aimed at different audiences. --- summary provided by publisher