Compressing Coefficients While Preserving Ideals in K-Theory for C*-Algebras |
| |
Authors: | Marius Ddrlat and Søren Eilers |
| |
Institution: | (1) Department of Mathematics, Purdue University, 1395 Mathematics Building, West Lafayette, IN, 47907-1395, U.S.A. e-mail |
| |
Abstract: | An invariant based on orderedK-theory with coefficients in
n>1 /n and an infinite number of natural transformations has proved to be necessary and sufficient to classify a large class of nonsimple 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 /. This invariant is more compact (hence, easier to compute) than the invariant mentioned above, and its use requires computation of only four natural transformations. |
| |
Keywords: | Torsion coefficients C*-algebras ideals approximately subhomogeneous real rank zero classification |
本文献已被 SpringerLink 等数据库收录! |
|