On an analogue of L2-Betti numbers for finite field coefficients and a question of Atiyah

dc.contributor.advisor	Schick, Thomas Prof. Dr.
dc.contributor.author	Neumann, Johannes
dc.date.accessioned	2016-07-12T08:50:38Z
dc.date.available	2016-07-12T08:50:38Z
dc.date.issued	2016-07-12
dc.identifier.uri	http://hdl.handle.net/11858/00-1735-0000-0028-87B7-7
dc.identifier.uri	http://dx.doi.org/10.53846/goediss-5746
dc.language.iso	eng	de
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subject.ddc	510	de
dc.title	On an analogue of L2-Betti numbers for finite field coefficients and a question of Atiyah	de
dc.type	doctoralThesis	de
dc.contributor.referee	Schick, Thomas Prof. Dr.
dc.date.examination	2016-07-06
dc.description.abstracteng	We construct a dimension function for modules over the group ring of an amenable group. This may replace the von Neumann dimension in the definition of L2-Betti numbers and thus allows an analogue definition for finite field coefficients. Furthermore we construct examples for characteristic 2 in answer to Atiyah question of irrational L2-Betti numbers.	de
dc.contributor.coReferee	Bartholdi, Laurent Prof. Dr.
dc.subject.eng	von Neumann dimension	de
dc.subject.eng	amenable	de
dc.subject.eng	group ring modules	de
dc.subject.eng	dimension	de
dc.subject.eng	finite characteristic	de
dc.subject.eng	L2-Betti numbers	de
dc.subject.eng	Atiyah Conjecture	de
dc.identifier.urn	urn:nbn:de:gbv:7-11858/00-1735-0000-0028-87B7-7-2
dc.affiliation.institute	Fakultät für Mathematik und Informatik	de
dc.subject.gokfull	Mathematik (PPN61756535X)	de
dc.identifier.ppn	862999901

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