منابع مشابه
On the Cartan Subalgebras of Lie Algebras over Small Fields
In this note we study Cartan subalgebras of Lie algebras defined over finite fields. We prove that a possible Lie algebra of minimal dimension without Cartan subalgebras is semisimple. Subsequently, we study Cartan subalgebras of gl(n, F ). AMS classification: 17B50
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In a 1991 paper, R. Mercer asserted that a Cartan bimodule isomorphism between Cartan bimodule algebras A1 and A2 extends uniquely to a normal ∗-isomorphism of the von Neumann algebras generated by A1 and A2 (Corollary 4.3 of Mercer, 1991). Mercer’s argument relied upon the Spectral Theorem for Bimodules of Muhly, Saito and Solel, 1988 (Theorem 2.5, there). Unfortunately, the arguments in the l...
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ژورنال
عنوان ژورنال: Rocky Mountain Journal of Mathematics
سال: 1990
ISSN: 0035-7596
DOI: 10.1216/rmjm/1181073123