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On the structure of $$AJW$$-algebras of type $$I_2$$. (English. Russian original) Zbl 0936.46040
Sib. Math. J. 40, No. 4, 764-774 (1999); translation from Sib. Mat. Zh. 40, No. 4, 905-917 (1999).
Author’s abstract: “A complete description for the structure of $$AJW$$-algebras of type $$I_2$$ is given. In particular, some cardinal-valued invariants are indicated that characterize every algebra of this class up to isomorphism. We establish that each $$AJW$$-algebra of type $$I_2$$ is constructed from abstract spin-factors by continuous or measurable ‘spreading’ and taking the direct sum. We find out conditions under which such a representation is unique. We use methods of Boolean-valued analysis”.

##### MSC:
 46H70 Nonassociative topological algebras 46S20 Nonstandard functional analysis 17C65 Jordan structures on Banach spaces and algebras
Full Text:
##### References:
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