This book is about extending index theory to some examples where non-Fredholm operators arise. It focuses on one aspect of the problem of what replaces the noti

This is the first treatment entirely dedicated to an analytic study of spectral flow for paths of selfadjoint Fredholm operators, possibly unbounded or understo

The object of this paper is to define a natural analytic index function on an arbitrary von Neumann algebra relative to an arbitrary ideal. This index map enabl

This volume offers an introduction to recent developments in several active topics of research at the interface between geometry, topology and quantum field the

This volume offers an introduction to recent developments in several active topics of research at the interface between geometry, topology and quantum field the