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The KK-theory of amalgamated free products
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.
https://hal-normandie-univ.archives-ouvertes.fr/hal-01876567
Contributor : Emmanuel Germain <>
Submitted on : Tuesday, September 18, 2018 - 3:21:36 PM
Last modification on : Monday, April 27, 2020 - 4:14:03 PM
Contributor : Emmanuel Germain <>
Submitted on : Tuesday, September 18, 2018 - 3:21:36 PM
Last modification on : Monday, April 27, 2020 - 4:14:03 PM
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