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A coarse relative-partitioned index theorem

Karami, M ; Sharif University of Technology | 2019

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  1. Type of Document: Article
  2. DOI: 10.1016/j.bulsci.2019.01.011
  3. Publisher: Elsevier Masson SAS , 2019
  4. Abstract:
  5. It seems that the index theory for non-compact spaces has found its ultimate formulation in the 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. © 2019 Elsevier Masson SAS
  6. Keywords:
  7. Coarse algebras ; Enlargeable manifolds ; K-theory of coarse spaces ; Partition index theorem ; Relative index theorem
  8. Source: Bulletin des Sciences Mathematiques ; Volume 153 , 2019 , Pages 57-71 ; 00074497 (ISSN)
  9. URL: https://www.sciencedirect.com/science/article/abs/pii/S0007449719300181