Large C*-algebras of universally measurable operators

Lawrence G. Brown

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arXiv · 1309.6306

Large C*-algebras of universally measurable operators

Lawrence G. Brown

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Abstract

For a C*-algebra A, G. Pedersen defined the concept of universal measurability for self-adjoint elements of A**, the universal enveloping algebra of A. Although he was unable to show that U, the set of universally measurable elements, is a Jordan algebra, he showed that U contains a large Jordan algebra, U_0. We show by means of a 2 x 2 matrix trick that U_0 is in fact the real part of a C*-algebra. If it is ever shown that U is always a C*-algebra, then the same trick will show that U is the real part of a C*-algebra.

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BibTeX RIS

Lawrence G. Brown. 2013-09-24. Large C*-algebras of universally measurable operators. https://arxiv.org/abs/1309.6306

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