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.
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页码：551 / 582
页数：32
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