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- W4205349069 abstract "We prove that it is consistent with ZFC that every unital endomorphism of the Calkin algebra $${cal Q}(H)$$ is unitarily equivalent to an endomorphism of $${cal Q}(H)$$ which is liftable to a unital endomorphism of $${cal B}(H)$$ . We use this result to classify all unital endomorphisms of $${cal Q}(H)$$ up to unitary equivalence by the Fredholm index of the image of the unilateral shift. As a further application, we show that it is consistent with ZFC that the class of C*-algebras that embed into $${cal Q}(H)$$ is not closed under tensor product nor countable inductive limit." @default.
- W4205349069 created "2022-01-26" @default.
- W4205349069 creator A5002665052 @default.
- W4205349069 date "2021-12-28" @default.
- W4205349069 modified "2023-10-11" @default.
- W4205349069 title "Trivial endomorphisms of the Calkin algebra" @default.
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- W4205349069 doi "https://doi.org/10.1007/s11856-021-2284-0" @default.
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