most citedL^2 torsion without the determinant class condition and extended L^2 cohomology

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math.OA2004

The Local Index Formula in Semifinite von Neumann Algebras II: The Even Case

Alan L. Carey, John Phillips, Adam Rennie +1

We generalise the even local index formula of Connes and Moscovici to the case of spectral triples for a *-subalgebra \A of a general semifinite von Neumann algebra. The proof is a…

math.OA2004

The Local Index Formula in Semifinite von Neumann Algebras I: Spectral Flow

Alan L. Carey, John Phillips, Adam Rennie +1

We generalise the local index formula of Connes and Moscovici to the case of spectral triples for a *-subalgebra \A of a general semifinite von Neumann algebra. In this setting it…