Document Type

Article

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 ƒ : B → B′ is a quasi-unital C*-map of separable C*-algebras, so that it induces a map of Corona algebras ƒ̄ : QB → QB′, and if ƒ is mono, then the induced map ƒ̄ is also mono.

Disciplines

Algebra | Geometry and Topology

Comments

Originally published in the New York Journal of Mathematics 5 (1999), available at http://nyjm.albany.edu/j/1999/5-11.html.

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