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Open projections and suprema in the Cuntz semigroup
Published online by Cambridge University Press: 27 September 2016
Abstract
We provide a new and concise proof of the existence of suprema in the Cuntz semigroup using the open projection picture of the Cuntz semigroup initiated in [12]. Our argument is based on the observation that the supremum of a countable set of open projections in the bidual of a C*-algebra A is again open and corresponds to the generated hereditary C*-subalgebra of A.
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 164 , Issue 1 , January 2018 , pp. 135 - 146
- Copyright
- Copyright © Cambridge Philosophical Society 2016
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