Abstract
In this chapter we will work out the representation theory of separable GCR algebras. The basic results, appearing at the end of Section 4.3, are presented so as to obviously generalize the results of Section 2.2 which classify normal operators and representations of abelian C*-algebras. But in contrast with the commutative case, it is necessary here to make essential use of the material on Borel structures from Chapter 3.
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© 1976 Springer-Verlag New York, Inc.
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Arveson, W. (1976). From Commutative Algebras to GCR Algebras. In: An Invitation to C*-Algebras. Graduate Texts in Mathematics, vol 39. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-6371-5_4
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DOI: https://doi.org/10.1007/978-1-4612-6371-5_4
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-6373-9
Online ISBN: 978-1-4612-6371-5
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