Relative-partitioned index theorem

2014/11/22 by Moin Karami, Karami, Moin, Mostafa Esfahani Zadeh +3
Mathematics · #19K56 #Advanced Banach Space Theory #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #K-Theory and Homology (math.KT)

paper · pdf · doi:10.48550/arxiv.1411.6090

openalex publication_date 2014/11/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

It seems that the index theory for non-compact spaces has found its ultimate formulation in realm of coarse spaces and K-theory of related operator algebras. Relative and partitioned index theorems may be mentioned as two important and interesting examples of this program. In this paper we formulate a combination of these two theorems and establish a partitioned-relative index theorem.

Citations

• The Mayer-Vietoris Sequence for the Analytic Structure Group

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