ED compact $K$ such that $C(K)$ is not a dual Banach space Almost every mathematician working in von Neumann algebras says that there are certainly extremely disconnected compact spaces $K$ such that $C(K)$ is not a dual space (they are not hyperstonean). Everyone points out the following reference:
J. Dixmier, Sur certains espaces consideres par M. H. Stone, Summa Bras. Math. 2 (1951), 151–182.
Unfortunately, my French does not exist but this not a real obstacle. The problem is that this article seems to be unavailable. Can one describe me please how does this counter-example look like? Are there any other known such counter-examples?
I am aware that there are certain topological characterisations of hyperstonean spaces by several Russian mathematicians but they are not easy to verify. This is why I am just interested in concrete spaces rather than general theorems.
 A: While I am not familiar with the details of the proof, I think the example being referred to is given by taking the algebra of bounded Baire functions on the real line, and quotienting out by the ideal of functions which vanish on a nowhere dense set. Historically this was of note because it is an example of an $AW^\ast$-algebra in the sense of Kaplansky that is not a von Neumann algebra.
If you look at the last sentence of the MathReview which says

Also, a stonian space is characterised as the spectrum of the totality of the self-adjoint algebra of the totality of bounded Borel functions (modulo those vanishing on a set of first category) on a Hausdorff space. In this way, an example is given of a stonian space which is not hyperstonian.

then this would seem to bear out my hazy recollection.
I have a feeling that the example can be found either in Dixmier's C*-algebra book or in his von Neumann algebra book - admittedly that is not too helpful given the density of those texts, but you might be able to find it. See also an article by Kadison:
MR0861016 (88f:46114)
Kadison, Richard V.(1-PA)
The von Neumann algebra characterization theorems.
Exposition. Math. 3 (1985), no. 3, 193–227. 
which apparently describes the Dixmier example (I don't have electronic access to the paper).
A: Your desired space is discussed in the book "Topics in Banach Space Theory", by Albiac and Kalton. Springer 2006.  See Remark 4.3.9, p. 85 and Problems 4.8 and 4.9, p. 99.
