$K$-theory associated to vertex operator algebras

Chongying Dong, Kefeng Liu, Xiaonan Ma, Jian Zhou
2004 Mathematical Research Letters  
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