November 26, 2012 -
4:30 pm to 5:30 pm
Location: Cupples I, Room 199|
Host: Prof. John McCarthy
Abstract: In 1970, Kaplansky posed the following problem: under what conditions is a linear, invertibility preserving map between complex algebras a Jordan homomorphism? I will provide a brief overview of the problem in the Banach algebra case as well as some partial results obtained by Bresar and Semrl, generalizing the well known Gleason-Kahane-Zelazko theorem. Moreover, I will present recent work by Bresar and Spenko on the structure of semisimple Banach algebras obtained in pursuit of this problem.
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