Please use this identifier to cite or link to this item: https://hdl.handle.net/2440/17771
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dc.contributor.authorBraverman, M.-
dc.contributor.authorCarey, A.-
dc.contributor.authorFarber, M.-
dc.contributor.authorVarghese, M.-
dc.date.issued2005-
dc.identifier.citationCommunications in Contemporary Mathematics, 2005; 7(4):421-462-
dc.identifier.issn0219-1997-
dc.identifier.issn1793-6683-
dc.identifier.urihttp://hdl.handle.net/2440/17771-
dc.description© World Scientific Publishing Company-
dc.description.abstractWe associate determinant lines to objects of the extended abelian category built out of a von Neumann category with a trace. Using this we suggest constructions of the combinatorial and the analytic L<sup>2</sup> torsions which, unlike the work of the previous authors, requires no additional assumptions; in particular we do not impose the determinant class condition. The resulting torsions are elements of the determinant line of the extended L<sup>2</sup> cohomology. Under the determinant class assumption the L<sup>2</sup> torsions of this paper specialize to the invariants studied in our previous work [6]. Applying a recent theorem of D. Burghelea, L. Friedlander and T. Kappeler [3] we obtain a Cheeger–Müller type theorem stating the equality between the combinatorial and the analytic L<sup>2</sup> torsions.-
dc.description.statementofresponsibilityBraverman, Maxim; Carey, Alan; Farber, Michael; Mathai, Varghese-
dc.language.isoen-
dc.publisherWorld Scientific Publ Co Pte Ltd-
dc.source.urihttp://dx.doi.org/10.1142/s0219199705001866-
dc.titleL2 torsion without the determinant class condition and extended L2 cohomology-
dc.typeJournal article-
dc.identifier.doi10.1142/S0219199705001866-
pubs.publication-statusPublished-
dc.identifier.orcidVarghese, M. [0000-0002-1100-3595]-
Appears in Collections:Aurora harvest 2
Pure Mathematics publications

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