Ideal structure of C*-algebras of commuting local homeomorphisms
| Autor: | Brix, Kevin Aguyar, Carlsen, Toke Meier, Sims, Aidan |
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| Rok vydání: | 2023 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | We determine the primitive ideal space and hence the ideal lattice of a large class of separable groupoid C*-algebras that includes all 2-graph C*-algebras. A key ingredient is the notion of harmonious families of bisections in etale groupoids associated to finite families of commuting local homeomorphisms. Our results unify and recover all known results on ideal structure for crossed products of commutative C*-algebras by free abelian groups, for graph C*-algebras, and for Katsura's topological graph C*-algebras. Comment: [v2]: 50 pages; pictures typeset with TikZ; Lemma 3.3 added, and proof of Proposition 7.2 corrected; thanks to Johannes Christensen and Sergiy Neshveyev for helpful discussions |
| Databáze: | arXiv |
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