Fredholm operators on locally compact spaces
The main result of the paper is the theorem: for any oriented Lipschitz manifold M, compact or not, without boundary, and for any difference bundle \((\xi_ 0,\xi_ 1,\alpha)\) on M the following is true: (i) the difference signature operator \(\Lambda (\xi_ 0,\xi_ 1,\alpha)\) is a Fredholm operator, (ii) index \((\Delta (\xi_ 0,\xi_ 1,\alpha),J)\) is a Lipschitz invariant of \([\xi]\in K^ 0(M)\), where [\(\xi\) ] is the class of \(\xi\).
scientific article; zbMATH DE number 3915262