Coarse indices of twisted operators

Author:

Wulff Christopher1

Affiliation:

1. Instituto de Matemáticas Unidad Cuernavaca, Universidad Nacional Autónoma de México, Avenida Universidad s/n, Colonia Lomas de Chamilpa, 62210 Cuernavaca, Morelos, México

Abstract

Several formulas for computing coarse indices of twisted Dirac type operators are introduced. One type of such formulas is by composition product in [Formula: see text]-theory. The other type is by module multiplications in [Formula: see text]-theory, which also yields an index theoretic interpretation of the duality between Roe algebra and stable Higson corona.

Funder

Program of Post-Doctoral Scholarships at the Universidad Nacional Autónoma de México

Publisher

World Scientific Pub Co Pte Lt

Subject

Geometry and Topology,Analysis

Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Equivariant Coarse (Co-)Homology Theories;Symmetry, Integrability and Geometry: Methods and Applications;2022-07-26

2. Secondary cup and cap products in coarse geometry;Research in the Mathematical Sciences;2021-06-11

3. Slant products on the Higson–Roe exact sequence;Annales de l'Institut Fourier;2021-06-07

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