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Modeling non-commutative phenomena in finite dimensional matrix algebras is a central theme of the program Quantitative Linear Algebra. This workshop will focus on a variety of concrete questions aro...
This workshop aims to provide a unique opportunity to bring together specialists and active researchers from some Pacific RIM countries, as well as some European countries, in the areas of operator al...
This workshop aims to provide a unique opportunity to bring together specialists and active researchers from some Pacific RIM countries, as well as some European countries, in the areas of operator al...
In this paper we study the reflexivity of a unital strongly closed algebra of operators with complemented invariant subspace lattice on a Banach space. We prove that if such an algebra contains a comp...
We give an abstract construction, based on the Belavin-Polyakov-Zamolodchikov equations, of a family of vertex operator algebras of rank 26 associated to the modified regular representations of the V...
Riemann Surfaces and Vertex Operator Algebras     Riemann Surfaces  Vertex Operator Algebras       font style='font-size:12px;'> 2011/1/21
We show that for any fixed point P0 on a Riemann surface the distinct realizations of cocycles in H1(,O) correspond to the natural appearances of the standard Heisenberg vertex operator algebra (P0...
We give several applications of a recent theorem of the second author, which solved a conjecture of the first author with Hay and Neal, concerning contractive approximate identities; and another of H...
In this paper, we study representations of the vertex operator algebra $L(k,0)$ at one-third admissible levels $k= -5/3, -4/3, -2/3$ for the affine algebra of type $G_2^{(1)}$. We first determine sin...
To each finite-dimensional operator space E is associated a commutative operator algebra UC(E), so that E embeds completely isometrically in UC(E) and any completely contractive map from E to bounded...
K-theory associated to vertex operator algebras     K-theory associated  vertex operator algebras       font style='font-size:12px;'> 2018/4/20
We introduce two K-theories, one for vector bundles whose fibers are modules of vertex operator algebras, another for vector bundles whose fibers are modules of associative algebras. We verify the coh...

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