Finite von Neumann Algebras and Masas

Allan M. Sinclair is a Professor Emeritus in the School of Mathematics at the University of Edinburgh. Roger R. Smith is a Professor in the Department of Mathematics at Texas A&M University.

• General introduction; 1. Masas in B(H); 2. Finite von Neumann algebras; 3. The basic construction; 4. Projections and partial isometries; 5. Normalisers, orthogonality, and distances; 6. The Pukánszky invariant; 7. Operators in L; 8. Perturbations; 9. General perturbations; 10. Singular masas; 11. Existence of special masas; 12. Irreducible hyperfinite subfactors; 13. Maximal injective subalgebras; 14. Masas in non-separable factors; 15. Singly generated II1 factors; Appendix A. The ultrapower and property Γ; Appendix B. Unbounded operators; Appendix C. The trace revisited; Index.

'Sinclair and Smith's monograph is very well written … well suited for graduate students who have been given a first course on operator algebras, for Ph.D. students who have started working on finite von Neumann algebras, but also for specialists because it gathers much useful and technical material.' Mathematical Reviews