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K-Theory of the Commutator Ideal

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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https://hal-normandie-univ.archives-ouvertes.fr/hal-01876555
Contributor : Emmanuel Germain <>
Submitted on : Tuesday, September 18, 2018 - 3:15:41 PM
Last modification on : Monday, April 27, 2020 - 4:14:03 PM

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

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