The Topological Snake Lemma and Corona Algebras
نویسنده
چکیده
We establish versions of the Snake Lemma from homological alge bra in the context of topological groups Banach spaces and operator algebras We apply this tool to demonstrate that if f B B is a quasi unital C map of separable C algebras so that it induces a map of Corona algebras f QB QB and if f is mono then the induced map f is also mono This paper presents a cross cultural result we use ideas from homological alge bra suitable topologized in order to establish a functional analytic result The Snake Lemma also known as the Kernel Cokernel Sequence is a basic result in homological algebra Here is what it says Suppose that one is given a commutative diagram
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تاریخ انتشار 1999