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

共 40 条

[1]

[Anonymous], 2000, Analytic K-Homology

[2]

[Anonymous], 1983, MONOGRAPHS MATH

[3]

[Anonymous], 2003, LECT COARSE GEOMETRY

[4]

[Anonymous], 1993, MEMOIRS AM MATH SOC

[5]

[Anonymous], 2003, Rev. R. Acad. Cienc. Exactas F i s. Nat.

[6] COLLECTIVELY COMPACT SETS OF LINEAR OPERATORS [J].

ANSELONE, PM ;

PALMER, TW .

PACIFIC JOURNAL OF MATHEMATICS, 1968, 25 (03) :417-&

[7]

ATIYAH MF, 1968, ANN MATH, V87, P484, DOI 10.2307/1970715

[8]

AUBIN T., 1998, SPRINGER MONOGRAPHS

[9] CHARACTERIZATION OF PSEUDODIFFERENTIAL OPERATORS AND APPLICATIONS [J].

BEALS, R .

DUKE MATHEMATICAL JOURNAL, 1977, 44 (01) :45-57

[10]

CHEEGER J, 1982, J DIFFER GEOM, V17, P15

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