Selfless reduced $C^{*}$-algebras of linear groups
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866914327434362880 |
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| author | Vigdorovich, Itamar |
| author_facet | Vigdorovich, Itamar |
| contents | It is shown that the reduced C*-algebra of a nontrivial linear group $Γ<GL_{d}(k)$ with trivial amenable radical is selfless. Thus selflessness and simplicity coincide for reduced C*-algebras of linear groups. Similar results are obtained for twisted reduced group C*-algebra. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_10616 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Selfless reduced $C^{*}$-algebras of linear groups Vigdorovich, Itamar Operator Algebras Dynamical Systems Group Theory It is shown that the reduced C*-algebra of a nontrivial linear group $Γ<GL_{d}(k)$ with trivial amenable radical is selfless. Thus selflessness and simplicity coincide for reduced C*-algebras of linear groups. Similar results are obtained for twisted reduced group C*-algebra. |
| title | Selfless reduced $C^{*}$-algebras of linear groups |
| topic | Operator Algebras Dynamical Systems Group Theory |
| url | https://arxiv.org/abs/2602.10616 |