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- W3138064204 abstract "Let A and B be C*-algebras and $$varphi :Arightarrow B$$ be a $$*$$ -homomorphism. We discuss the properties of the kernel and (co-)image of the induced map $$mathrm {K}_{0}(varphi ):mathrm {K}_{0}(A) rightarrow mathrm {K}_{0}(B)$$ on the level of K-theory. In particular, we are interested in the case that the co-image is torsion free, and show that it holds when A and B are commutative and unital, B has real rank zero, and $$varphi $$ is unital and injective. We also show that A is embeddable in B if $$ mathrm {K}_{0}(varphi )$$ is injective and A has stable rank one and real rank zero." @default.
- W3138064204 created "2021-03-29" @default.
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- W3138064204 date "2021-03-23" @default.
- W3138064204 modified "2023-09-24" @default.
- W3138064204 title "Homomorphisms of C*-Algebras and Their K-theory" @default.
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- W3138064204 doi "https://doi.org/10.1007/s41980-021-00528-4" @default.
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