Let n be a positive integer. We introduce a concept, which we call the n-filling property, for an action of a group on a separable unital C\*-algebra A. If A=C(0) is a commutative unital C\*-algebra and the action is induced by a group of homeomorphisms of 0 then the n-filling property reduces to a
✦ LIBER ✦
Pure states of simple C∗-algebras
✍ Scribed by Jan Søreng
- Publisher
- Elsevier Science
- Year
- 1976
- Tongue
- English
- Weight
- 638 KB
- Volume
- 22
- Category
- Article
- ISSN
- 0022-1236
No coin nor oath required. For personal study only.
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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 :.