On Graded Quasi-Cartan Pairs and Twisted Steinberg Algebras
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866915313211146240 |
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| author | Clark, Lisa Orloff Naingue, Lynnel D. Vilela, Jocelyn P. |
| author_facet | Clark, Lisa Orloff Naingue, Lynnel D. Vilela, Jocelyn P. |
| contents | We generalise recent results about quasi-Cartan, Cartan and diagonal subalgebras by introducing graded versions. We show that there is a correspondence between graded algebraic quasi-Cartan/ Cartan/ diagonal pairs and certain graded twisted Steinberg algebras and that the associated graded discrete twist is unique. Our results include all discrete group algebras, and so are more general than the ungraded version. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_24180 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On Graded Quasi-Cartan Pairs and Twisted Steinberg Algebras Clark, Lisa Orloff Naingue, Lynnel D. Vilela, Jocelyn P. Rings and Algebras We generalise recent results about quasi-Cartan, Cartan and diagonal subalgebras by introducing graded versions. We show that there is a correspondence between graded algebraic quasi-Cartan/ Cartan/ diagonal pairs and certain graded twisted Steinberg algebras and that the associated graded discrete twist is unique. Our results include all discrete group algebras, and so are more general than the ungraded version. |
| title | On Graded Quasi-Cartan Pairs and Twisted Steinberg Algebras |
| topic | Rings and Algebras |
| url | https://arxiv.org/abs/2505.24180 |