• DOI:10.2140/akt.2019.4.185
Corpus ID: 119136670

Orbital integrals and $K$-theory classes

@article{Hochs2018OrbitalIA,
  title={Orbital integrals and \$K\$-theory classes},
  author={P. Hochs and Hang Wang},
  journal={arXiv: K-Theory and Homology},
  year={2018}
}

P. Hochs, Hang Wang

Published 2018

Mathematics, Physics

arXiv: K-Theory and Homology

Let $G$ be a semisimple Lie group with discrete series. We use maps $K_0(C^*_rG)\to \mathbb{C}$ defined by orbital integrals to recover group theoretic information about $G$, including information contained in $K$-theory classes not associated to the discrete series. An important tool is a fixed point formula for equivariant indices obtained by the authors in an earlier paper. Applications include a tool to distinguish classes in $K_0(C^*_rG)$, the (known) injectivity of Dirac induction… CONTINUE READING

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