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arXiv · 1203.3845

The Projection Calculus

Tristan Bice
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Abstract

We develop some tools for manipulating and constructing projections in C*-algebras. These are then applied to give short proofs of some standard projection homotopy results, as well as strengthen some fundamental classical results for C*-algebras of real rank zero, specifically on liftings, excising pure states and Kadison's transitivity theorem. Lastly, we investigate some order properties of the set of projections in C*-algebras of real rank zero, building on our previous work.

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Tristan Bice. 2013-01-22. The Projection Calculus. https://arxiv.org/abs/1203.3845

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