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math.OA2026
On the Shirshov--Cohn theorem for JB-algebras
Mark Roelands, Samuel Tiersma
It is shown that a JB-algebra which can be generated by the union of two of its associative Jordan subalgebras is a JC-algebra, hence special. A similar refinement of Macdonald's p…
math.OA2026
An order-theoretic characterization of C*-algebras
Samuel Tiersma
We give an order-theoretic characterization of the essential image of the forgetful functor from the category of real/complex unital C*-algebras to the category of real/complex uni…