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arXiv · 1311.3822

Operator algebras with a reduction property

James A Gifford
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Abstract

In this thesis we explore the the possibility of characterising C* algebras by their (non-isometric) Banach algebra structure alone. We introduce a property of Banach algebras, the Total Reduction Property, and conjecture that a Banach algebra has this property if and only if it is isomorphic to a C* algebra. We establish some partial results in support of this conjecture.

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James A Gifford. 2013-11-15. Operator algebras with a reduction property. https://arxiv.org/abs/1311.3822

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