Bivariant $K$-theory and the Weyl algebra

Joachim Cuntz

Bivariant $K$-theory and the Weyl algebra

K-Theory and Homology 2007-05-23 v2 Mathematical Physics math.MP

Authors: Joachim Cuntz

Abstract

We introduce a new version $kk^{\rm alg}$ of bivariant $K$ -theory that is defined on the category of all locally convex algebras. A motivating example is the Weyl algebra $W$ , i.e. the algebra generated by two elements satisfying the Heisenberg commutation relation, with the fine locally convex topology. We determine its $kk^{\rm alg}$ -invariants using a natural extension for $W$ . Using similar methods the $kk^{\rm alg}$ -invariants can be determined for many other algebras of similar type.

Keywords

weyl groups and algebras algebraic k-theory equivariant cohomology

Cite

@article{arxiv.math/0401295,
  title  = {Bivariant $K$-theory and the Weyl algebra},
  author = {Joachim Cuntz},
  journal= {arXiv preprint arXiv:math/0401295},
  year   = {2007}
}

Comments

This version contains corrections to misprints and minor inaccuracies as well as some additional comments

Bivariant $K$-theory and the Weyl algebra

Abstract

Keywords

Cite

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