Which Compacta Are Noncommutative Ars?
نویسنده
چکیده
We give a short answer to the question in the title: dendrits. Precisely we show that the C∗-algebra C(X) of all complex-valued continuous functions on a compactum X is projective in the category C of all (not necessarily commutative) unital C∗-algebras if and only if X is an absolute retract of dimension dimX ≤ 1 or, equivalently, that X is a dendrit.
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