nLab Mishchenko-Fomenko index theorem

Idea

The Mishchenko-Fomenko index theorem is a generalization of the Atiyah-Singer index theorem to differential operators on Hilbert module-bundles over some C*-algebra.

References

The original English version of the original work is

• A.S. Mishchenko, A.T. Fomenko, The index of elliptic operators over C-algebras., Math. USSR, Izv. 15 (1980), 87–112.

A more explicit rederivation is in section 6.1 of

• Thomas Schick, $L^2$-index, KK-theory, and connections, New York J. Math. 11 (2005) (arXiv:math/0306171)