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ISBN-13: 9781461265757, 978-1461265757. This book gives a complete and updated presentation of the character ization theorems of [10]' [11] and [71]. Our previous book State spaces of operator algebras: basic theory, orientations and C -products, referenced as [AS] in the sequel, gives an account of the necessary prerequisites on C -algebras and von Neumann algebras, as well as a discussion of the key notion of orientations of state spaces.
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