What does exactly mean "the spectral algebra $W_{A}$"?

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I'm trying to study an introduction to topos quantum theory but I keep finding this concept that I don't understand fully. In "A Topos Perspective on the Kochen-Specker Theorem: I. Quantum States as Generalized Valuations" by Isham e Butterfield it's called "spectral algebra $W_{A}$, where $A$ is a bounded operator with discrete spectra, some boolean algebra obtained from the set of projectors that are in the spectral decomposition of $A$. Tell me if you know something about that, please.