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Open projections and suprema in the Cuntz semigroup

By Joan Bosa, Gabriele Tornetta and Joachim Zacharias


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

Publisher: Cambridge University Press
Year: 2018
OAI identifier:
Provided by: Enlighten

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