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Just-infinite jordan banach algebras Научная публикация

Журнал

Journal of Algebra and its Applications
ISSN: 0219-4988

Вых. Данные

Год: 2026, Страницы: 1-18 Страниц : 18 DOI: 10.1142/s0219498828500764

Ключевые слова

just-infinite group, just-infinite C∗-algebra, JB-algebra, JC-algebra, spin factor.

Авторы

Zhelyabin V.N. ¹ , Mamontov A.S. ²

Организации

1	https://orcid.org/0000-0001-9371-6363
2	https://orcid.org/0000-0002-0324-5287

By analogy with the well-established notions of just-infinite groups and just-infinite algebras, in particular C∗-algebras, we initiate a study of just-infinite JB-algebras, i.e. infinite dimensional JB-algebras for which all proper quotients are finite dimensional. We investigate the connections between a just-infinite C∗-algebra A and its Jordan algebra H(A,∗) of self-adjoint elements. We also show that any just-infinite JB-algebra J either is a infinite-dimensional spin factor or there exists a C∗-algebra A and just-infinite norm-closed real ∗-subalgebras A1 and A2 of A such that H(A1,∗) J ⊆ H(A2,∗).

Zhelyabin V.N. , Mamontov A.S.
Just-infinite jordan banach algebras
Journal of Algebra and its Applications. 2026. P.1-18. DOI: 10.1142/s0219498828500764 OpenAlex

Поступила в редакцию:	14 апр. 2025 г.
Принята к публикации:	24 сент. 2026 г.

≡ OpenAlex:

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