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L2 torsion without the determinant class condition and extended L2 cohomology

Braverman, Maxim; Carey, Alan; Farber, Michael; Varghese, Mathai


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 L2 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 2 cohomology. Under the determinant class assumption the L 2...[Show more]

CollectionsANU Research Publications
Date published: 2005
Type: Journal article
Source: Communications in Contemporary Mathematics
DOI: 10.1142/S0219199705001866


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