# 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

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topDadarlat, 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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