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Journal Articles K-Theory Year : 2001

K-Theory of the Commutator Ideal

Emmanuel Germain

Abstract

We consider for unital C∗-algebras the short exact sequence 0 → 1 → A ∗C B → A ⊗max B → 0 and give an explicit formula for the boundary map for separable C∗-algebras for which the K¨unneth formula for tensor products holds without Tor-terms. In the course of the article, we study the similar case of an ideal concerning one-relator groups.
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hal-01876555 , version 1 (18-09-2018)

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Emmanuel Germain. K-Theory of the Commutator Ideal. K-Theory, 2001, 23 (1), pp.41 - 52. ⟨10.1023/A:1017564222199⟩. ⟨hal-01876555⟩
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