Extensions of certain real rank zero C * -algebras

Marius Dadarlat; Terry A. Loring

Annales de l'institut Fourier (1994)

  • Volume: 44, Issue: 3, page 907-925
  • ISSN: 0373-0956

Abstract

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G. Elliott extended the classification theory of A F -algebras to certain real rank zero inductive limits of subhomogeneous C * -algebras with one dimensional spectrum. We show that this class of C * -algebras is not closed under extensions. The relevant obstruction is related to the torsion subgroup of the K 1 -group. Perturbation and lifting results are provided for certain subhomogeneous C * -algebras.

How to cite

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Dadarlat, Marius, and Loring, Terry A.. "Extensions of certain real rank zero $C^*$-algebras." Annales de l'institut Fourier 44.3 (1994): 907-925. <http://eudml.org/doc/75084>.

@article{Dadarlat1994,
abstract = {G. Elliott extended the classification theory of $AF$-algebras to certain real rank zero inductive limits of subhomogeneous $C^*$-algebras with one dimensional spectrum. We show that this class of $C^*$-algebras is not closed under extensions. The relevant obstruction is related to the torsion subgroup of the $K_1$-group. Perturbation and lifting results are provided for certain subhomogeneous $C^*$-algebras.},
author = {Dadarlat, Marius, Loring, Terry A.},
journal = {Annales de l'institut Fourier},
keywords = {classification theory of AF-algebras; real rank zero inductive limits of subhomogeneous -algebras with one-dimensional spectrum; - group; perturbation; lifting; subhomogeneous -algebras},
language = {eng},
number = {3},
pages = {907-925},
publisher = {Association des Annales de l'Institut Fourier},
title = {Extensions of certain real rank zero $C^*$-algebras},
url = {http://eudml.org/doc/75084},
volume = {44},
year = {1994},
}

TY - JOUR
AU - Dadarlat, Marius
AU - Loring, Terry A.
TI - Extensions of certain real rank zero $C^*$-algebras
JO - Annales de l'institut Fourier
PY - 1994
PB - Association des Annales de l'Institut Fourier
VL - 44
IS - 3
SP - 907
EP - 925
AB - G. Elliott extended the classification theory of $AF$-algebras to certain real rank zero inductive limits of subhomogeneous $C^*$-algebras with one dimensional spectrum. We show that this class of $C^*$-algebras is not closed under extensions. The relevant obstruction is related to the torsion subgroup of the $K_1$-group. Perturbation and lifting results are provided for certain subhomogeneous $C^*$-algebras.
LA - eng
KW - classification theory of AF-algebras; real rank zero inductive limits of subhomogeneous -algebras with one-dimensional spectrum; - group; perturbation; lifting; subhomogeneous -algebras
UR - http://eudml.org/doc/75084
ER -

References

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