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C. L. Schochet
The Topological Snake Lemma and Corona Algebras
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| Published: |
September 29, 1999 |
| Keywords: |
Corona algebra, multiplier algebra, Snake Lemma, homological algebra for C*-algebras |
| Subject: |
Primary 18G35, 46L05; Secondary 22A05, 46L85 |
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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' is a quasi-unital C*-map
of separable C*-algebras, so that it induces
a map of Corona algebras \bar f: QB → QB' ,
and if f is mono,
then the induced map \bar f is also mono.
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| Author information
Mathematics Department, Wayne State University, Detroit, MI 48202
claude@math.wayne.edu
http://www.math.wayne.edu/~claude/
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