nLab
generalized elliptic operator

Contents

Idea

In the context of noncommutative geometry/KK-theory, a generalized elliptic operator is a linear operator of a Hilbert bimodule over two C*-algebras A,BA, B in C*Alg, such that in the special case that A=C 0(Y)A = C_0(Y) and B=C 0(Y)B = C_0(Y) for X,YX,Y smooth manifolds, this reduces to a YY-parameterized collection of ordinary elliptic operators on XX.

Created on April 10, 2013 at 14:05:44. See the history of this page for a list of all contributions to it.