Compressing Coefficients
while Preserving Ideals in the K-theory for C*-algebras
Compressing Coefficients
while Preserving Ideals in the K-theory for C*-algebras
- Authors: Marius Dadarlat and Søren Eilers.
- Date: August 1996.
- Status: Appeared in K-Theory
14 (1998), 281-304.
- Pages: 24.
- Abstract:
An invariant based on ordered K-theory with coefficients in
Z + Z/2 + Z/3 + Z/4+...
and an infinite number of
natural
transformations has proved to be necessary and sufficient to classify a large
class of non-simple C*-algebras. In this paper we expose and explain the
relations between the order structure and the ideals of the C*-algebras in
question.
As an application, we give a new complete invariant for a large class of
approximately subhomogeneous C*-algebras. The invariant is based on
ordered K-theory with coefficients in
Z+Q+Q/Z.
This invariant is
more compact (hence easier to compute) than the invariant mentioned above, and
its use requires computation of only four natural
transformations.
- Updated reference list: HTML, postscript.
- Inverse reference list: HTML, postscript.
- Remarks: The preliminary version of this paper (unpublished)
was called "Reducing Torsion Coefficient K-Theory". In the preprint version of
this paper, due to a regrettable error, it looks like reference [20] is a
paper by Rotman. It is of course by Schochet.
- Copyright: Kluwer.
- Access opportunities:
- Request a reprint by email.
eilers@math.ku.dk/August 24,
1996.