Memoirs of the AMS, March 1998, volume 132, number 627

Here are pdf-versions by the author of the chapters of the book:

- Table of contents
- Introduction
- Chapter 1: Preliminaries on non-crossing partitions
- Chapter 2: Operator-valued multiplicative functions on the lattice of non-crossing partitions
- Chapter 3: Amalgamated free products
- Chapter 4: Operator-valued free probability theory
- Chapter 5: Operator-valued stochastic processes and stochastic differential equations
- References

Note that what is called there (in particular, in Chapter 4, Def. 4.2.3) a “B-Gaussian distribution” is now usually addressed as a “B-valued semicircular distribution.”