Peirce-Zerlegungen und Jordan-Strukturen zu homogenen Kegeln.
Poincaré duality for - Lie superalgebras
Positive projections and Jordan structure in operator algebras.
Prime nondegenerate Jordan algebras with nonzero socle and the symmetric Martindale algebra of quotients.
Projective homogeneous varieties birational to quadrics.
Propriétés analytiques du spèctre dans les algèbres de Jordan-Banach.
Pseudomonotonicity and related properties in Euclidean Jordan algebras.
Pure states on Jordan algebras
We prove that a pure state on a -algebras or a JB algebra is a unique extension of some pure state on a singly generated subalgebra if and only if its left kernel has a countable approximative unit. In particular, any pure state on a separable JB algebra is uniquely determined by some singly generated subalgebra. By contrast, only normal pure states on JBW algebras are determined by singly generated subalgebras, which provides a new characterization of normal pure states. As an application we contribute...