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- W1721167750 abstract "Blackadar conjectured that if we have a split short-exact sequence $$0 rightarrow I rightarrow A rightarrow mathbb{C} rightarrow 0$$ where I is semiprojective then A must be semiprojective. Eilers and Katsura have found a counterexample to this conjecture. Presumably Blackadar asked that the extension be split to make it more likely that semiprojectivity of I would imply semiprojectivity of A. But oddly enough, in all the counterexamples of Eilers and Katsura the quotient map from A to $$A/Imathop{cong}mathbb{C}$$ is split. We will show how to modify their examples to find a non-semiprojective C ∗-algebra B with a semiprojective ideal J such that B∕J is the complex numbers and the quotient map does not split." @default.
- W1721167750 created "2016-06-24" @default.
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- W1721167750 date "2013-01-01" @default.
- W1721167750 modified "2023-09-27" @default.
- W1721167750 title "On a Counterexample to a Conjecture by Blackadar" @default.
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- W1721167750 doi "https://doi.org/10.1007/978-3-642-39459-1_15" @default.
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