Suchergebnisse

Algebra environments capture properties of non–commutative conditional expectations
in a general algebraic setting. Their study relies on algebraic geometry,
topology, and differential geometry techniques. The structure algebraic and Banach
manifolds of algebra environments and their Zariski and smooth tangent
vector bundles are particular objects of interest. A description of derivations
on algebra environments compatible with geometric structures is an additional
issue. Grassmann and flag manifolds of unital involutive algebras and spaces of
projective compact group representations in C∗–algebras are analyzed as structure
manifolds of associated algebra environments.