Just-infinite jordan banach algebras Full article
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Journal of Algebra and its Applications
ISSN: 0219-4988 |
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| Output data | Year: 2026, Pages: 1-18 Pages count : 18 DOI: 10.1142/s0219498828500764 | ||||
| Tags | just-infinite group, just-infinite C∗-algebra, JB-algebra, JC-algebra, spin factor. | ||||
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Abstract:
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,∗).
Cite:
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
Just-infinite jordan banach algebras
Journal of Algebra and its Applications. 2026. P.1-18. DOI: 10.1142/s0219498828500764 OpenAlex
Dates:
| Submitted: | Apr 14, 2025 |
| Accepted: | Sep 24, 2026 |
Identifiers:
| ≡ OpenAlex: | W7131809223 |