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https://hdl.handle.net/2440/17771
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DC Field | Value | Language |
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dc.contributor.author | Braverman, M. | - |
dc.contributor.author | Carey, A. | - |
dc.contributor.author | Farber, M. | - |
dc.contributor.author | Varghese, M. | - |
dc.date.issued | 2005 | - |
dc.identifier.citation | Communications in Contemporary Mathematics, 2005; 7(4):421-462 | - |
dc.identifier.issn | 0219-1997 | - |
dc.identifier.issn | 1793-6683 | - |
dc.identifier.uri | http://hdl.handle.net/2440/17771 | - |
dc.description | © World Scientific Publishing Company | - |
dc.description.abstract | We 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.statementofresponsibility | Braverman, Maxim; Carey, Alan; Farber, Michael; Mathai, Varghese | - |
dc.language.iso | en | - |
dc.publisher | World Scientific Publ Co Pte Ltd | - |
dc.source.uri | http://dx.doi.org/10.1142/s0219199705001866 | - |
dc.title | L2 torsion without the determinant class condition and extended L2 cohomology | - |
dc.type | Journal article | - |
dc.identifier.doi | 10.1142/S0219199705001866 | - |
pubs.publication-status | Published | - |
dc.identifier.orcid | Varghese, M. [0000-0002-1100-3595] | - |
Appears in Collections: | Aurora harvest 2 Pure Mathematics publications |
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