Abstract
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 variant of that for the odd case which appears in Part I. To allow for algebras with a non-trivial centre we have to establish a theory of unbounded Fredholm operators in a general semifinite von Neumann algebra and in particular prove a generalised McKean-Singer formula.
Original language | English |
---|---|
Pages (from-to) | 517-554 |
Number of pages | 38 |
Journal | Advances in Mathematics |
Volume | 202 |
Issue number | 2 |
DOIs | |
Publication status | Published - 1 Jun 2006 |