The Triviality Thesis

The Triviality Thesis-23
He assumes that primitive symbols are drawn from a finite alphabet.

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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.

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) 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.


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