English

$K$-theory associated to vertex operator algebras

Differential Geometry 2007-05-23 v2 Quantum Algebra

Abstract

We introduce two KK-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 KK-theories, and construct a natural homomorphism from the VOA K-theory to the associative algebra K-theory.

Keywords

Cite

@article{arxiv.math/0403547,
  title  = {$K$-theory associated to vertex operator algebras},
  author = {Chongying Dong and Kefeng Liu and Xiaonan Ma and Jian Zhou},
  journal= {arXiv preprint arXiv:math/0403547},
  year   = {2007}
}

Comments

Corrected some typos

R2 v1 2026-07-22T17:03:55.246Z