Abstract

The classification of factors up to isomorphism has been the major focal point of the theory of operator algebras ever since the pioneering work of Murray and von Neumann. It’s completion is still far out of sight at the present time. It is now known that there are continuously many non-isomorphic separable factors of non-type I in each class: type II1, type II∞ and type IIIλ, 0 ≤ λ ≤ 1. Among these wild variety of factors, there is a one distinguished class of factors which are called approximately finite dimensional abbreviated AFD. The rest of this volume is mainly devoted to the study of AFD factors. This chapter is an easy inroad into the theory of AFD factors.

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