Displaying similar documents to “A reflexivity criterion for Hilbert C*-modules over commutative C*-algebras.”

Hilbert modules and tensor products of operator spaces

Bojan Magajna (1997)

Banach Center Publications

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The classical identification of the predual of B(H) (the algebra of all bounded operators on a Hilbert space H) with the projective operator space tensor product H ¯ ⨂ ^ H is extended to the context of Hilbert modules over commutative von Neumann algebras. Each bounded module homomorphism b between Hilbert modules over a general C*-algebra is shown to be completely bounded with ∥ b ∥ c b = ∥ b ∥ . The so called projective operator tensor product of two operator modules X and Y over an abelian von Neumann algebra...

Partial flag varieties and preprojective algebras

Christof Geiß, Bernard Leclerc, Jan Schröer (2008)

Annales de l’institut Fourier

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Let Λ be a preprojective algebra of type A , D , E , and let G be the corresponding semisimple simply connected complex algebraic group. We study rigid modules in subcategories Sub Q for Q an injective Λ -module, and we introduce a mutation operation between complete rigid modules in Sub Q . This yields cluster algebra structures on the coordinate rings of the partial flag varieties attached to  G .