Bivariant $K$-theory and the Weyl algebra

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dc.creatorCuntz, Joachim
dc.date2004-01-22
dc.date2004-07-19
dc.date.accessioned2026-07-07T05:04:46Z
dc.date.available2026-07-07T05:04:46Z
dc.descriptionWe 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.
dc.descriptionThis version contains corrections to misprints and minor inaccuracies as well as some additional comments
dc.identifierhttps://arxiv.org/abs/math/0401295
dc.identifierhttp://arxiv.org/abs/math/0401295
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/69929
dc.subjectK-Theory and Homology
dc.subjectMathematical Physics
dc.subject19L99 16W99
dc.titleBivariant $K$-theory and the Weyl algebra
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