Mathematical Research Letters
Volume 11 (2004)
$K$-theory associated to vertex operator algebras
Pages: 629 – 647
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.