Computing Ext for graph algebras

dc.creatorTomforde, Mark
dc.date2001-03-08
dc.date2003-06-12
dc.date.accessioned2026-07-25T23:09:41Z
dc.descriptionFor a row-finite graph G with no sinks and in which every loop has an exit, we construct an isomorphism between Ext(C*(G)) and coker(A-I), where A is the vertex matrix of G. If c is the class in Ext(C*(G)) associated to a graph obtained by attaching a sink to G, then this isomorphism maps c to the class of a vector which describes how the sink was added. We conclude with an application in which we use this isomorphism to produce an example of a row-finite transitive graph with no sinks whose associated C*-algebra is not semiprojective.
dc.description23 pages, uses XY-pic, to appear in the Journal of Operator Theory, some small typos corrected
dc.identifierhttps://arxiv.org/abs/math/0103055
dc.identifierhttp://arxiv.org/abs/math/0103055
dc.identifierJ. Operator Theory 49 (2003), 363--387
dc.identifier.urihttps://dspace.dare.co.zw/handle/123456789/95962
dc.subjectOperator Algebras
dc.subject19K33, 46L55
dc.titleComputing Ext for graph algebras
dc.typetext

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