dc.contributor.author | Rahm, Alexander D. | |
dc.date.accessioned | 2013-11-22T10:26:44Z | |
dc.date.available | 2013-11-22T10:26:44Z | |
dc.date.issued | 2011 | |
dc.identifier.citation | Rahm, Alexander D. (2011) 'Homology and K-theory of the Bianchi groups'. C. R. Math. Acad. Sci. Paris, 349 (11-12):615-619. | en_US |
dc.identifier.uri | http://dx.doi.org/10.1016/j.crma.2011.05.014 | |
dc.identifier.uri | http://hdl.handle.net/10379/3834 | |
dc.description.abstract | We reveal a correspondence between the homological torsion of the Bianchi groups
and new geometric invariants, which are effectively computable thanks to their
action on hyperbolic space. We use it to explicitly compute their integral group
homology and equivariant K-homology. By the Baum/Connes conjecture, which
holds for the Bianchi groups, we obtain the K-theory of their reduced C*-algebras
in terms of isomorphic images of the computed K-homology.
We further find an application to Chen/Ruan orbifold cohomology. | en_US |
dc.format | application/pdf | en_US |
dc.language.iso | en | en_US |
dc.relation.ispartof | C. R. Math. Acad. Sci. Paris | en |
dc.rights | Attribution-NonCommercial-NoDerivs 3.0 Ireland | |
dc.rights.uri | https://creativecommons.org/licenses/by-nc-nd/3.0/ie/ | |
dc.subject | K-homology | en_US |
dc.subject | Bianchi groups | en_US |
dc.subject | K-theory | en_US |
dc.title | Homology and K-theory of the Bianchi groups | en_US |
dc.type | Article | en_US |
dc.date.updated | 2013-10-10T11:33:28Z | |
dc.identifier.doi | 10.1016/j.crma.2011.05.014 | |
dc.local.publishedsource | http://dx.doi.org/10.1016/j.crma.2011.05.014 | en_US |
dc.description.peer-reviewed | peer-reviewed | |
dc.contributor.funder | |~| | |
dc.internal.rssid | 5076486 | |
dc.local.contact | Alexander Rahm, School Of Maths, Stats &, Applied Maths,, Nui Galway.. Email: alexander.rahm@nuigalway.ie | |
dc.local.copyrightchecked | Yes | |
dc.local.version | ACCEPTED | |
nui.item.downloads | 577 | |