非对易性作为上极限
Noncommutativity as a colimit
摘要：
每个部分代数都是它的全子代数的余极限。我们证明了这个结果的部分布尔代数（包括正交模格）和部分C*-代数（包括非交换C*-代数）的新概念，和变化，如部分完全布尔代数和部分AW*-代数。前两个结果是通过投影联系起来的。作为推论，我们发现Stone对偶和Gelfand对偶的扩展。最后，我们调查在何种程度上的Bohrification建设，部分C*-代数，是函子。
英文摘要：
Every partial algebra is the colimit of its total subalgebras. We prove this result for partial Boolean algebras (including orthomodular lattices) and the new notion of partial C*-algebras (including noncommutative C*-algebras), and variations such as partial complete Boolean algebras and partial AW*-algebras. The first two results are related by taking projections. As corollaries we find extensions of Stone duality and Gelfand duality. Finally, we investigate the extent to which the Bohrification construction, that works on partial C*-algebras, is functorial.
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