Standard Duals of Operator Bimodules

Injective Cogenerators among Operator Bimodules

Given C-algebras A and B acting cyclically on Hilbert spaces H and K, respectively, we characterize completely isometric A, B-bimodule maps from B(K,H) into operator A, B-bimodules. We determine cogenerators in some classes of operator bimodules. For an injective cogenerator X in a suitable category of operator A, B-bimodules we show: if A, regarded as a Csubalgebra of Al(X) (adjointable left m...

Bimodules associated to vertex operator algebras

Let V be a vertex operator algebra and m,n ≥ 0. We construct an An(V )Am(V )-bimodule An,m(V ) which determines the action of V from the level m subspace to level n subspace of an admissible V -module. We show how to use An,m(V ) to construct naturally admissible V -modules from Am(V )-modules. We also determine the structure of An,m(V ) when V is rational. 2000MSC:17B69

Multiplicative bijective maps on standard operator algebras

Endomorphism rings of bimodules

On Isomorphisms of Standard Operator Algebras

The aim of this paper is to show that between standard operator algebras every bijective map with a certain multiplicativity property related to the Jordan triple isomorphisms of associative rings is automatically additive.