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arXiv · 1510.02061

KK-equivalence for amalgamated free product C*-algebras

Kei Hasegawa
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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.

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Kei Hasegawa. 2015-10-07. KK-equivalence for amalgamated free product C*-algebras. https://arxiv.org/abs/1510.02061

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