| dc.contributor.advisor | Meyer, Ralf Prof. Dr. | |
| dc.contributor.author | Holkar, Rohit Dilip | |
| dc.date.accessioned | 2015-09-09T08:40:18Z | |
| dc.date.available | 2015-09-09T08:40:18Z | |
| dc.date.issued | 2015-09-09 | |
| dc.identifier.uri | http://hdl.handle.net/11858/00-1735-0000-0023-960F-3 | |
| dc.identifier.uri | http://dx.doi.org/10.53846/goediss-5257 | |
| dc.language.iso | eng | de |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | |
| dc.subject.ddc | 510 | de |
| dc.title | Topological construction of C*-correspondences for groupoid C*-algebras | de |
| dc.type | doctoralThesis | de |
| dc.contributor.referee | Renault, Jean Prof. Dr. | |
| dc.date.examination | 2014-09-12 | |
| dc.description.abstracteng | Let G and H be locally compact, Hausdor groupoids with Haar systems. We de fine a topological correspondence from G to H to be a G-H bispace X carrying a G-quasi invariant and H-invariant family of measures. We show that such a correspondence gives a C*-correspondence from C *(G) to C* (H). If the groupoids and the spaces are second countable, then this construction is functorial. We
show that under a certain amenability assumption, similar results hold for the reduced C *-algebras. We apply this theory of correspondences to study induction techniques for groupoid representations, construct morphisms of Brauer groups and produce some odd unbounded KK-cycles. | de |
| dc.contributor.coReferee | Schick, Thomas Prof. Dr. | |
| dc.subject.eng | groupoid | de |
| dc.subject.eng | topological correspondences | de |
| dc.subject.eng | groupoid representation | de |
| dc.subject.eng | induced representations | de |
| dc.subject.eng | Brauer group | de |
| dc.subject.eng | groupoid morphisms | de |
| dc.subject.eng | bicategory | de |
| dc.identifier.urn | urn:nbn:de:gbv:7-11858/00-1735-0000-0023-960F-3-0 | |
| dc.affiliation.institute | Fakultät für Mathematik und Informatik | de |
| dc.subject.gokfull | Mathematics (PPN61756535X) | de |
| dc.identifier.ppn | 83479120X | |