The KK-theory of amalgamated free products - Archive ouverte HAL Access content directly
Preprints, Working Papers, ... Year : 2020

The KK-theory of amalgamated free products

Emmanuel Germain
Pierre Fima
  • Function : Author
  • PersonId : 882656

Abstract

We prove a long exact sequence in KK-theory for both full and reduced amalgamated free products in the presence of conditional expectations. In the course of the proof, we established the KK-equivalence between the full amalgamated free product of two unital C*-algebras and a newly defined reduced amalgamated free product that is valid even for non GNS-faithful conditional expectations. Our results unify, simplify and generalize all the previous results obtained before by Cuntz, Germain and Thomsen.
Fichier principal
Vignette du fichier
S0001870820302000.pdf (668.62 Ko) Télécharger le fichier
Origin : Files produced by the author(s)

Dates and versions

hal-01876567 , version 1 (20-05-2022)

Licence

Attribution - NonCommercial - CC BY 4.0

Identifiers

Cite

Emmanuel Germain, Pierre Fima. The KK-theory of amalgamated free products. 2022. ⟨hal-01876567⟩

Relations

290 View
23 Download

Altmetric

Share

Gmail Facebook Twitter LinkedIn More