Proves a homotopy lifting theorem for asymptotic homomorphisms in C*-algebras and derives homotopy invariance of the MF-property plus related results on quasidiagonal and MF traces.
Manuilov, Asymptotic homomorphisms of C*-algebras and C*- extensions, Journal of Mathematical Sciences, Vol
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math.OA 2years
2025 2verdicts
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Establishes norm-exactly-1 continuous sections for C*-algebra surjections and derives lifting plus quasidiagonality results for cone algebras over separable C*-algebras.
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Homotopy lifting, asymptotic homomorphisms, and traces
Proves a homotopy lifting theorem for asymptotic homomorphisms in C*-algebras and derives homotopy invariance of the MF-property plus related results on quasidiagonal and MF traces.
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Sections and cones
Establishes norm-exactly-1 continuous sections for C*-algebra surjections and derives lifting plus quasidiagonality results for cone algebras over separable C*-algebras.