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- Lawrence Berkeley National LaboratoryUS29 papers
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7 papers · 2 filters
Stable isomorphism of dual operator spaces
G. K. Eleftherakis, V. I. Paulsen, I. G. Todorov
We prove that two dual operator spaces and are stably isomorphic if and only if there exist completely isometric normal representations and of and , respecti…
Realizations of AF-algebras as graph algebras, Exel-Laca algebras, and ultragraph algebras
Takeshi Katsura, Aidan Sims, Mark Tomforde
We give various necessary and sufficient conditions for an AF-algebra to be isomorphic to a graph C*-algebra, an Exel-Laca algebra, and an ultragraph C*-algebra. We also explore co…
Graph algebras, Exel-Laca algebras, and ultragraph algebras coincide up to Morita equivalence
Takeshi Katsura, Paul S. Muhly, Aidan Sims +1
We prove that the classes of graph algebras, Exel-Laca algebras, and ultragraph algebras coincide up to Morita equivalence. This result answers the long-standing open question of w…
Weak Expectations and the Injective Envelope
Vern I. Paulsen
Given a unital C*-subalgebra of B(H), we study the set of all possible images of its injective envelope that are contained in B(H) and their position relative to the double commuta…
An operator algebraic proof of Agler's factorization theorem
Sneh Lata, Meghna Mittal, Vern I. Paulsen
We give a short direct proof of Agler's factorization theorem that uses the abstract characterization of operator algebras. the key ingredient of this proof is an operator algebra…
A Morita theorem for dual operator algebras
Upasana Kashyap
We prove that two dual operator algebras are weak Morita equivalent if and only if they have equivalent categories of dual operator modules via completely contractive functors…