Isomorphisms between Leavitt algebras and their matrix rings

  • Walter de Gruyter
  • Published 2008


Let K be any field, let Ln denote the Leavitt algebra of type ð1; n 1Þ having coe‰cients in K, and let MdðLnÞ denote the ring of d d matrices over Ln. In our main result, we show that MdðLnÞGLn if and only if d and n 1 are coprime. We use this isomorphism to answer a question posed in [14] regarding isomorphisms between various C -algebras. Furthermore, our… (More)


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