Related papers: Sofic groups and convolution operators
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This submission has been withdrawn at the request of the author.
This paper has been withdrawn by the authors due to an error.
This paper has been withdrawn by the author, due to errors in the figures.
Although the results are correct, it was pointed out that the results follow from some previously known results. Accordingly, this version of the paper is withdrawn by the authors.
In this article we give a short and informal overview of some aspects of the theory of C*- and von Neumann algebras. We also mention some classical results and applications of these families of operator algebras.
This paper has been withdrawn by the author, due to a crucial error in page 5.
This paper has been withdrawn due to submission of subsequent versions as a new preprint
This paper has been withdrawn by the authors due to an unlikely results.
This paper has been withdrawn by the author. Improved versions (arXiv:1109.5548 and arXiv:0708.4190) are accepted.
The paper has been withdrawn by the authors. The contents of the paper will be used in a future communication which will contain major addition and shift of focus.
We prove that Connes' Embedding Conjecture holds for the von Neumann algebras of sofic groups, that is sofic groups are hyperlinear. Hence we provide some new examples of hyperlinearity. We also show that the Determinant Conjecture holds…
We extend L\"uck's determinant conjecture from groups to invariant random subgroups (IRS) of free groups, a framework generalizing groups where a non-sofic object is known to exist. For every free group, we prove the existence of an IRS…
A derived version of Maschke's theorem for finite groups is proved: the derived categories, bounded or unbounded, of all blocks of the group algebra of a finite group are simple, in the sense that they admit no nontrivial recollements. This…
This paper has been administratively withdrawn by arXiv, duplicate of arXiv:1008.2691.
This paper has been withdrawn by author due to an error in the proof.
The derivation is studied in relation with the space of Schwartz of functions. This paper has been withdrawn by the author.
We survey some of the progress made recently in the classification of von Neumann algebras arising from countable groups and their measure preserving actions on probability spaces. We emphasize results which provide classes of…
This paper has been withdrawn by the author due to incomplete interpretation for the results.
This paper has been withdrawn by the authors, due a crucial mistake in Lemma 2