Simplicity of the Lie Algebra of Skew Symmetric Elements of a Leavitt Path Algebra |
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| Authors: | Adel Alahmedi Hamed Alsulami |
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| Affiliation: | 1. Department of Mathematics, King Abdulaziz University, Jeddah, Saudi Arabiahhaalsalmi@kau.edu.sa;3. Department of Mathematics, King Abdulaziz University, Jeddah, Saudi Arabia |
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| Abstract: | For a field F of characteristic not 2 and a directed row-finite graph Γ let L(Γ) be the Leavitt Path Algebra with standard involution *. We study the lie algebra of K = K(L(Γ), *) of * ?skew-symmetric elements and find necessary and sufficient conditions for the Lie algebra [K, K] to be simple. |
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| Keywords: | Cuntz-Krieger C*-algebra Leavitt path algebra Simple Lie algebra |
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