KK-equivalence for amalgamated free product C*-algebras
Operator Algebras
2015-10-08 v1
Abstract
We prove that any reduced amalgamated free product C*-algebra is KK-equivalent to the corresponding full amalgamated free product C*-algebra. The main ingredient of its proof is Julg--Valette's geometric construction of Fredholm modules with Connes's view for representation theory of operator algebras.
Keywords
Cite
@article{arxiv.1510.02061,
title = {KK-equivalence for amalgamated free product C*-algebras},
author = {Kei Hasegawa},
journal= {arXiv preprint arXiv:1510.02061},
year = {2015}
}
Comments
11 pages