Stable rank of graph algebras: type I graph algebras and their limits

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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