A reflexivity criterion for Hilbert C*-modules over commutative C*-algebras.

Frank, Michael; Manuilov, Vladimir; Troitsky, Evgenij

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Finite-dimensional Hilbert $C^{*}$ -modules.

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Hilbert modules and tensor products of operator spaces

Bojan Magajna (1997)

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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 $\bar{H} ⨂^{^} H$ 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...

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Partial flag varieties and preprojective algebras

Christof Geiß, Bernard Leclerc, Jan Schröer (2008)

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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 $G$ .

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

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