Simple subquotients of crossed products by abelian groups and twisted group algebras
Fuente:
arXiv
Guardado en:
| Autor principal: | |
|---|---|
| Formato: | Preprint |
| Publicado: |
2026
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866915740761718784 |
|---|---|
| author | Echterhoff, Siegfried |
| author_facet | Echterhoff, Siegfried |
| contents | Motivated by work of Poguntke we study the question under what conditions simple subquotients of crossed products $A\rtimes_αG$ by (twisted) actions of abelian groups $G$ are isomorphic to simple twisted group algebras of abelian groups. As a consequence, we recover a theorem of Poguntke's saying that the simple subquotients of group $C^*$-algebras of connected groups are either stably isomorphic to $\mathbb C$ or they are stably isomorphic to simple non-commutative tori. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_14097 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Simple subquotients of crossed products by abelian groups and twisted group algebras Echterhoff, Siegfried Operator Algebras 46L55, 46L45, 22D25 Motivated by work of Poguntke we study the question under what conditions simple subquotients of crossed products $A\rtimes_αG$ by (twisted) actions of abelian groups $G$ are isomorphic to simple twisted group algebras of abelian groups. As a consequence, we recover a theorem of Poguntke's saying that the simple subquotients of group $C^*$-algebras of connected groups are either stably isomorphic to $\mathbb C$ or they are stably isomorphic to simple non-commutative tori. |
| title | Simple subquotients of crossed products by abelian groups and twisted group algebras |
| topic | Operator Algebras 46L55, 46L45, 22D25 |
| url | https://arxiv.org/abs/2601.14097 |