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Abelian faces of state spaces ofC*-algebras

โœ Scribed by C. J. K. Batty


Publisher
Springer
Year
1980
Tongue
English
Weight
537 KB
Volume
75
Category
Article
ISSN
0010-3616

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Homogeneity of the Pure State Space of t
โœ Ola Bratteli; Akitaka Kishimoto ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 149 KB

If | 1 , | 2 are two pure gauge-invariant states of the Cuntz algebra O d , we show that there is an automorphism : of O d such that | 1 =| 2 b :. If | is a general pure state on O d and . 0 is a given Cuntz state, we show that there exists an endomorphism : of O d such that . 0 =| b :.