The maximal ideal space of a commutative $C^*$-algebra is a compact Hausdorff space and it is one way to construct a compactification of a topological space. I am looking for an introductory book in commutative $C^*$-algebra that has a treatment of the properties of a topological space in the sense that the book gives properties of a topological space that can be derived from the $C^*$-algebra of the continuous bounded complex-valued function on that space and vice versa.
2026-03-30 21:07:41.1774904861
$C^*$-algebra books recommendations
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