English

Spectral multiplicity and odd K-theory

K-Theory and Homology 2008-05-31 v2

Abstract

In this paper we begin a study of the space of unbounded self-adjoint Fredholm operators as a classifying space for K^{1}(X), with the goal of incorporating the information in the eigenspaces and eigenvalues of the operators. In particular, the role that the multiplicity of eigenvalues plays is developed here.

Keywords

Cite

@article{arxiv.0801.2815,
  title  = {Spectral multiplicity and odd K-theory},
  author = {Ronald G. Douglas and Jerome Kaminker},
  journal= {arXiv preprint arXiv:0801.2815},
  year   = {2008}
}

Comments

Typos fixed and application improved

R2 v1 2026-06-21T10:04:08.101Z