 

Berndt Brenken
The isolated ideal of a correspondence associated with a topological quiver


Published: 
April 23, 2006

Keywords: 
C*correspondence, CuntzPimsner algebra, Hilbert module, isolated ideal, topological quiver, source, sink, simple 
Subject: 
46L08, 46L05 


Abstract
For a general C*correspondence E a canonical saturated invariant
ideal, on which the correspondence is not supported, is identified. The
quotient correspondence is formed and the CuntzPimsner C*algebra of it is
identified both as a relative CuntzPimsner algebra for E, and as
a quotient of the CuntzPimsner algebra for E . For the
C*correspondence arising from a topological quiver this process amounts to
restricting the base space of vertices to the closed subspace supporting the
space of edges.


Acknowledgements
The author acknowledges support, in connection with this research, from the Natural Sciences and Engineering Research Council of Canada.


Author information
Mathematics and Statistics, University of Calgary, Calgary, AB, Canada T2N 1N4
bbrenken@math.ucalgary.ca

