3 papers
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…
math.FA2026
An order-theoretic characterization of JB-algebras
Mark Roelands, Samuel Tiersma
We give an order-theoretic characterization of the JB-algebras among the complete order unit spaces in terms of the existence of an order-anti-automorphism of the interior of the c…