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He assumes that primitive symbols are drawn from a finite alphabet.
The Triviality Problem, whether all W*-bundles with fibres isomorphic to the hyperfinite II_1 factor are trivial, is central to this thesis.
Ozawa's Triviality Theorem ispresented, and property gamma and the Mc Duff property for W*-bundles are investigated thoroughly.
This thesis collates, extends and applies the abstract theory of W*-bundles.
Highlightsinclude the standard form for W*-bundles, a bicommutant theorem for W*-bundles, andan investigation of completions, ideals, and quotients of W*-bundles.
) called “the Desire as Expectation Thesis” is presented.
Ozawa's Triviality Theorem is applied to some new examples such as the strictclosures of Villadsen algebras and non-trivial C(X)-algebras.
The solution to the Triviality Problem in the locally trivial case, obtained by myself and Pennig, is included.
Symbolic configurations manipulated by a Turing machine do not differ to arbitrarily small extent.
Turing machines operate over discrete strings of elements (digits) drawn from a finite alphabet.