Index theorem for inhomogeneous hypoelliptic differential operators. (English) Zbl 1512.58011
Summary: We prove an index theorem for inhomogeneous differential operators satisfying the Rockland condition (hence hypoelliptic). This theorem extends an index theorem for contact manifolds by E. van Erp [Ann. Math. (2) 171, No. 3, 1647–1681 (2010; Zbl 1206.19004); 1683–1706 (2010; Zbl 1206.19005)].
MSC:
| 58J20 | Index theory and related fixed-point theorems on manifolds |
| 19K56 | Index theory |
| 22E25 | Nilpotent and solvable Lie groups |
| 46L87 | Noncommutative differential geometry |
