- Title
- Stable rank of graph algebras: type I graph algebras and their limits
- Creator
- Deicke, Klaus; Jeong, Hee Hong; Szymanski, Wojciech
- Relation
- Indiana University Mathematics Journal Vol. 52, Issue 4, p. 963-979
- Publisher Link
- http://dx.doi.org/10.1512/iumj.2003.52.2350
- Publisher
- Indiana University, Department of Mathematics
- Resource Type
- journal article
- Date
- 2003
- Description
- For an arbitrary countable directed graph E we show that the only possible values of the stable rank of the associated Cuntz-Krieger algebra C*(E) are 1, 2 or ∞. Explicit criteria for each of these three cases are given. We characterize graph algebras of type I, and graph algebras which are inductive limits of C*-algebras of type I. We also show that a gauge-invariant ideal of a graph algebra is itself isomorphic to a graph algebra.
- Subject
- Cuntz-Krieger algebras; graph C*-algebras; ideals; stable rank; type I algebras
- Identifier
- http://hdl.handle.net/1959.13/27611
- Identifier
- uon:1837
- Identifier
- ISSN:0022-2518
- Language
- eng
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