Abstract
Abstract The aim of this chapter is to present the basic theory of von Neumann algebras with minimal preparation. The general theory of von Neumann algebras often requires several hundred pages in standard textbooks, and this has been an obstacle for non-operator algebraists to grasp the theory for applications in other fields such as low-dimensional topology or quantum group theory. We present only what is needed in the remainder of the book, and often give ad hoc definitions and make extra assumptions rather than work in full generality. (When we give a non-standard corner-cutting definition, we also explain what the standard definition is.)
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