A Decomposition Theorem for CK1 of Central Simple Algebras |
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| Authors: | Roozbeh Hazrat Robert Wilson |
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| Institution: | 1. Department of Pure Mathematics , Queen's University , Belfast, UK r.hazrat@qub.ac.uk;3. Department of Pure Mathematics , Queen's University , Belfast, UK |
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| Abstract: | Let A be a central simple algebra over its center F. Define CK1 A = Coker(K1 F → K1 A). We prove that if A and B are F-central simple algebras of coprime degrees, then CK1(A? F B) = CK1 A × CK1 B. |
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| Keywords: | Central simple algebras Division algebras Reduced K-theory |
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