ABSTRACT
Chapter 9
Hilbert Modules
9.1 Continuous Hilbert bundles
Measurable Hilbert bundles were introduced in Chapter 2 (Denition
2.4.8), and they played an important role in Chapters 3, 5, and 6. We
begin this chapter by describing a continuous version of the construction;
next we revisit the measurable version; and then we introduce Hilbert
modules over C*- and von Neumann algebras, which are the quantum
analogs of Hilbert bundles.
