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
• …
• all in one file

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.”