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Jacob Shotwell

Publications and source records attributed to Jacob Shotwell.

2 recordsLinked to original sources
arXiv2013

The primitive ideals of the Cuntz-Krieger algebra of a row-finite higher-rank graph with no sources

We catalogue the primitive ideals of the Cuntz-Krieger algebra of a row-finite higher-rank graph with no sources. Each maximal tail in the vertex set has an abelian periodicity group of finite rank at most that of the graph; the primitive ideals in the Cuntz-Krieger algebra are indexed by pairs consisting of a maximal tail and a character of its periodicity group. The Cuntz-Krieger algebra is primitive if and only if the whole vertex set is a maximal tail and the graph is aperiodic.

math.OA↗
arXiv2008

Simplicity of finitely-aligned k-graph C*-algebras

It is shown that no local periodicity is equivalent to the aperiodicity condition for arbitrary finitely-aligned k-graphs. This allows us to conclude that C*(Λ) is simple if and only if Λis cofinal and has no local periodicity.

math.OA↗