K-Homology classes of elliptic uniform pseudodifferential operators

被引：2

作者：

Engel, Alexander ^{[1
]}

机构：

[1] Univ Regensburg, Fak Math, D-93040 Regensburg, Germany

来源：

ANNALS OF GLOBAL ANALYSIS AND GEOMETRY | 2018年 / 54卷 / 04期

关键词：

Pseudodifferential operators; K-Homology; Index theory; FINITE PROPAGATION SPEED; CURVATURE; MANIFOLDS; INDEX;

D O I：

10.1007/s10455-018-9614-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that an elliptic uniform pseudodifferential operator over a manifold of bounded geometry defines a class in uniform K-homology, and that this class only depends on the principal symbol of the operator.

引用

页码：551 / 582

页数：32

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