# Notes on a class of simple C*-algebras with real rank zero.

Publicacions Matemàtiques (1992)

- Volume: 36, Issue: 2A, page 637-654
- ISSN: 0214-1493

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topGoodearl, Kenneth R.. "Notes on a class of simple C*-algebras with real rank zero.." Publicacions Matemàtiques 36.2A (1992): 637-654. <http://eudml.org/doc/41741>.

@article{Goodearl1992,

abstract = {A construction method is presented for a class of simple C*-algebras whose basic properties -including their real ranks- can be computed relatively easily, using linear algebra. A numerival invariant attached to the construction determines wether a given algebra has real rank 0 or 1. Moreover, these algebras all have stable rank 1, and each nonzero hereditary sub-C*-algebra contains a nonzero projection, yet there are examples in which the linear span of the projections is not dense. (This phenomenon was first exhibited by Blackadar and Kumjian). The construction also produces easy examples of simple C*-algebras with real rank 0 and stable rank 1 for which K0 fails to be unperforated.},

author = {Goodearl, Kenneth R.},

journal = {Publicacions Matemàtiques},

keywords = {real ranks; hereditary sub--algebra; examples of simple - algebras with real rank 0 and stable rank 1 for which fails to be unperforated},

language = {eng},

number = {2A},

pages = {637-654},

title = {Notes on a class of simple C*-algebras with real rank zero.},

url = {http://eudml.org/doc/41741},

volume = {36},

year = {1992},

}

TY - JOUR

AU - Goodearl, Kenneth R.

TI - Notes on a class of simple C*-algebras with real rank zero.

JO - Publicacions Matemàtiques

PY - 1992

VL - 36

IS - 2A

SP - 637

EP - 654

AB - A construction method is presented for a class of simple C*-algebras whose basic properties -including their real ranks- can be computed relatively easily, using linear algebra. A numerival invariant attached to the construction determines wether a given algebra has real rank 0 or 1. Moreover, these algebras all have stable rank 1, and each nonzero hereditary sub-C*-algebra contains a nonzero projection, yet there are examples in which the linear span of the projections is not dense. (This phenomenon was first exhibited by Blackadar and Kumjian). The construction also produces easy examples of simple C*-algebras with real rank 0 and stable rank 1 for which K0 fails to be unperforated.

LA - eng

KW - real ranks; hereditary sub--algebra; examples of simple - algebras with real rank 0 and stable rank 1 for which fails to be unperforated

UR - http://eudml.org/doc/41741

ER -

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