Homomorphisms of C*-Algebras and Their K-theory
نویسندگان
چکیده
Let A and B be C*-algebras $$\varphi :A\rightarrow B$$ a $$*$$ -homomorphism. We discuss the properties of kernel (co-)image induced map $$\mathrm {K}_{0}(\varphi ):\mathrm {K}_{0}(A) \rightarrow \mathrm {K}_{0}(B)$$ on level K-theory. In particular, we are interested in case that co-image is torsion free, show it holds when commutative unital, has real rank zero, $$ unital injective. also embeddable if )$$ injective stable one zero.
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ژورنال
عنوان ژورنال: Bulletin of the Iranian Mathematical Society
سال: 2021
ISSN: ['1018-6301', '1735-8515']
DOI: https://doi.org/10.1007/s41980-021-00528-4