Index theorems for Fredholm, semi-Fredholm, and almost periodic operators: all in one example
Hideki Inoue
Nagoya University, JapanSerge Richard
Nagoya University, Japan
![Index theorems for Fredholm, semi-Fredholm, and almost periodic operators: all in one example cover](/_next/image?url=https%3A%2F%2Fcontent.ems.press%2Fassets%2Fpublic%2Fimages%2Fserial-issues%2Fcover-jncg-volume-13-issue-4.png&w=3840&q=90)
Abstract
Based on operators borrowed from scattering theory, several concrete realizations of index theorems are proposed. The corresponding operators belong to some -algebras of pseudo-differential operators with coefficients which either have limits at , or which are periodic or asymptotically periodic, or which are uniformly almost periodic. These various situations can be deduced from a single partial isometry which depends on several parameters. All computations are explicitly performed.
Cite this article
Hideki Inoue, Serge Richard, Index theorems for Fredholm, semi-Fredholm, and almost periodic operators: all in one example. J. Noncommut. Geom. 13 (2019), no. 4, pp. 1359–1380
DOI 10.4171/JNCG/349