 

C. L. Schochet
The Topological Snake Lemma and Corona Algebras


Published: 
September 29, 1999 
Keywords: 
Corona algebra, multiplier algebra, Snake Lemma, homological algebra for C*algebras 
Subject: 
Primary 18G35, 46L05; Secondary 22A05, 46L85 


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 quasiunital 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.


Author information
Mathematics Department, Wayne State University, Detroit, MI 48202
claude@math.wayne.edu
http://www.math.wayne.edu/~claude/

