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$K$-theory associated to vertex operator algebras

Chongying Dong·Kefeng Liu·Xiaonan Ma·Jian Zhou
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Abstract

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 cohomological properties of these $K$-theories, and construct a natural homomorphism from the VOA K-theory to the associative algebra K-theory.

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Chongying Dong, Kefeng Liu, Xiaonan Ma, Jian Zhou. 2004-04-20. $K$-theory associated to vertex operator algebras. https://arxiv.org/abs/math/0403547

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