Abstract.
We show that, in a JB-algebra, the projections form a Banach manifold and also, the rank-n projections in a JBW-factor form a Riemannian symmetric space of compact type, for \(n\, \in \,\user2{\mathbb{N}}\, \cup \, \left\{ 0 \right\}\).
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Received: 18 July 2005