Related papers: Amenability and co-amenability in non-abelian grou…

This paper has been withdrawn by the author due to an error estimate in Lemma 3.1.

This paper has been withdrawn by the author.

This paper has been withdrawn by the author due to an error in the last paragraph of step 2 of the main proof, on page 6.

This paper has been withdrawn by the author due to a errors in figure 3,4

This paper has been withdrawn.

This paper has been withdrawn because the author no longer believes the firewall argument is correct.

This paper has been withdrawn by the author.

This paper has been withdrawn by the author. It will be replaced, substantially modified, by sections of the author's completed PhD thesis.

This paper has been withdrawn by the author, due a critical mistake on page 3.

An elementary gap in the proof of corollary 2.2 was found, the claim in the first version of the paper is thus retracted.

This paper has being withdrawn by the authors due to an error in the conclusion.

This paper has been withdrawn by the authors, due an error involving the weak* convergence argument in section 2

This paper is withdrawn due to some gaps in the proof

This paper has been withdrawn by the authors because it has been combined with "Higher Auslander Algebras Admitting Trivial Maximal Orthogonal Subcategories" (arXiv:0903.0761) together. Please see the new version of the latter paper for the…

This paper has been withdrawn as it has been superseded by 0808.2697

This paper has been withdrawn by the author due to some problems.

This paper has been withdrawn by the author, due to the insecurity against attacks received in quant-ph/0605027v5.

This paper has been withdrawn by the author because eq.(4) and those subsequent are incorrect.

This paper has been withdrawn by the authors. We have discovered an error in the evaluation of the diagram, which invalidates our conclusion.

This paper was withdrawn by the author. It turns out that similar ideas have been presented before. The author apologizes.