L2-index formula for proper cocompact group actions

Hang Wang

doi:10.4171/JNCG/160

L²-index formula for proper cocompact group actions

Hang Wang^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

18 Scopus citations

Abstract

We study index theory of G-invariant elliptic pseudo-differential operators acting on a complete Riemannian manifold, where a unimodular, locally compact group G acts properly, cocompactly and isometrically. An L²-index formula is obtained using the heat kernel method.

Original language	English
Pages (from-to)	393-432
Number of pages	40
Journal	Journal of Noncommutative Geometry
Volume	8
Issue number	2
DOIs	https://doi.org/10.4171/JNCG/160
State	Published - 2014
Externally published	Yes

Keywords

G-trace
Heat kernel
K-theoretic index

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10.4171/JNCG/160

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title = "L2-index formula for proper cocompact group actions",

abstract = "We study index theory of G-invariant elliptic pseudo-differential operators acting on a complete Riemannian manifold, where a unimodular, locally compact group G acts properly, cocompactly and isometrically. An L2-index formula is obtained using the heat kernel method.",

keywords = "G-trace, Heat kernel, K-theoretic index",

author = "Hang Wang",

year = "2014",

doi = "10.4171/JNCG/160",

language = "英语",

volume = "8",

pages = "393--432",

journal = "Journal of Noncommutative Geometry",

issn = "1661-6952",

publisher = "European Mathematical Society Publishing House",

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T1 - L2-index formula for proper cocompact group actions

AU - Wang, Hang

PY - 2014

Y1 - 2014

N2 - We study index theory of G-invariant elliptic pseudo-differential operators acting on a complete Riemannian manifold, where a unimodular, locally compact group G acts properly, cocompactly and isometrically. An L2-index formula is obtained using the heat kernel method.

AB - We study index theory of G-invariant elliptic pseudo-differential operators acting on a complete Riemannian manifold, where a unimodular, locally compact group G acts properly, cocompactly and isometrically. An L2-index formula is obtained using the heat kernel method.

KW - G-trace

KW - Heat kernel

KW - K-theoretic index

UR - https://www.scopus.com/pages/publications/84904795300

U2 - 10.4171/JNCG/160

DO - 10.4171/JNCG/160

M3 - 文章

AN - SCOPUS:84904795300

SN - 1661-6952

VL - 8

SP - 393

EP - 432

JO - Journal of Noncommutative Geometry

JF - Journal of Noncommutative Geometry

IS - 2

ER -

L²-index formula for proper cocompact group actions

Abstract

Keywords

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