Stability of a \(\sigma _{P}\)-unital continuous field algebra (Q2372175)

The authors study the question of whether stability is preserved under the operation of forming a continuous field algebra. This is not necessarily true when the base space is infinite-dimensional. However, it is always true when the base space is an \(n\)-cube or an \(n\)-torus, and when the continuous field algebra is sigma \(p\)-unital. They also show that under the same hypotheses, the corona factorization property is \(\sigma_P\)-preserved under the formation of continuous field algebra.