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Transcript
Abstract. We establish versions of the Snake Lemma from homological algebra in the context of topological groups, Banach spaces,
and operator algebras. We apply this tool to demonstrate that if
f : B → B 0 is a quasi-unital C ∗ -map of separable C ∗ -algebras, so
that it induces a map of Corona algebras f¯ : QB → QB 0 , and if f
is mono, then the induced map f¯ is also mono.