Mathematical Research Letters

Volume 11, Issue 5, September 2004 pp. 629-647.

$K$-theory associated to vertex operator algebras

Authors: Chongying Dong, Kefeng Liu, Xiaonan Ma, and Jian Zhou
Author institution: University of California, Santa Cruz, UCLA, Ecole Polytechnique, and Qinghua University

Summary: 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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