Gauge-Invariant Ideals in the C*-Algebras of Finitely Aligned Higher-Rank Graphs

Sims, Aidan

Canadian journal of mathematics, Tome 58 (2006) no. 6, pp. 1268-1290

Résumé

We produce a complete description of the lattice of gauge-invariant ideals in ${{C}^{*}}(\Lambda )$ for a finitely aligned $k$ -graph $\Lambda $ . We provide a condition on $\Lambda $ under which every ideal is gauge-invariant. We give conditions on $\Lambda $ under which ${{C}^{*}}(\Lambda )$ satisfies the hypotheses of the Kirchberg–Phillips classification theorem.

Détail

DOI : 10.4153/CJM-2006-045-2

Mots-clés : 46L05, Graphs as categories, graph algebra, C*-algebra

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