Quasidiagonal extensions and AF algebras
Quasidiagonal extensions and AF algebras.
- Authors:Søren
Eilers, Terry A.
Loring and
Gert K. Pedersen.
- Date: November 1996.
- Status: Appeared in Mathematische Annalen, 311 (1998), 233-249.
- Pages: 16.
- Abstract:
Suppose that X is a separable C*-algebra with a closed ideal A
such that X/A is approximately finite-dimensional. Given a quasidiagonal
extension
0 ---> k ---> E ---> A ---> 0
we can find E' to complete the commutative diagram
0 ---> k ---> E ---> A ---> 0
0 ---> k ---> E' ---> X ---> 0
so that the bottom row is also a quasidiagonal extension. As a corollary we find
that X is nuclear and quasidiagonal if and only if A is nuclear and
quasidiagonal.
- Reference list: HTML,
postscript.
- Inverse reference list: HTML,
postscript.
- Access opportunities:
- Not directly available on the web. Send e-mail to get a paper copy.
eilers@math.ku.dk/October
30, 1996.