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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.doi:10.4310/mrl.2004.v11.n5.a7 fatcat:d4dlhxlimrhatgw42lmelm6gpm