No CrossRef data available.
Article contents
The K-theory of the C*-algebra of foliations by slope components
Published online by Cambridge University Press: 28 May 2008
Abstract
We compute the K-theory of the C*-algebra for a large class of foliations of the 3-torus, which contains in particular all smooth foliated circle bundles over the 2-torus. This generalizes a well-known result of Torpe. We show that the rank of the K-theory groups reflect part of the geometrical aspect of the foliation. To illustrate these results, we compute some concrete examples, including a case where both K-theory groups have infinite rank.
Keywords
- Type
- Research Article
- Information
- Copyright
- Copyright © ISOPP 2009