nLab generalized elliptic operator

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 $A, B$ in C*Alg, such that in the special case that $A = C_0(X)$ and $B = C_0(Y)$ for $X,Y$ smooth manifolds, this reduces to a $Y$-parameterized collection of ordinary elliptic operators on $X$.

Related concepts

• elliptic complex