Related papers: Sofic groups and convolution operators

This paper has been withdrawn. See published paper http://arxiv.org/math.HO/0512390

This paper has been withdrawn by the author

This paper has been withdrawn.

This paper has been withdrawn by the authors due to its publication

This submission has been withdrawn at the request of the author.

This paper has been withdrawn by the author, since the author does not have enough time to answer every questions on this result.

This paper has been withdrawn by the author due to an error in the main proof (thanks to Carlos D'Andrea)

We show that if $\Gamma$ is an infinite finitely generated finitely presented sofic group with zero first $L^{2}$ Betti number then the von Neumann algebra $L(\Gamma)$ is strongly $1$-bounded in the sense of Jung. In particular,…

This paper has been withdrawn by the authors due to the paper is far from complishment.

We reduce the Nowicki conjecture on the Weitzenb\"ock derivation of polynomial algebras to well-known problem of the classical invariant theory.

The paper has been withdrawn

This article has been replaced by arXiv:0807.3093

This paper has been withdrawn because it is a duplicate of [math/0609208].

This paper has been withdrawn by arXiv administrators because of disputed claims of authorship among former collaborators

This paper has been withdrawn

The paper has been withdrawn by the author.

It is shown that the *-algebra of all (closed densely defined linear) operators affiliated with a finite type I von Neumann algebra admits a unique center-valued trace, which turns out to be, in a sense, normal. It is also demonstrated that…

In the paper, a method of describing the outer derivations of the group algebra of a finitely presentable group is given. The description of derivations is given in terms of characters of the groupoid of the adjoint action of the group.

This paper has been withdrawn by the author due to a crucial error in formula 4.12.r

For $p,q\in [1,\infty)$, we study the isomorphism problem for the $p$- and $q$-convolution algebras associated to locally compact groups. While it is well known that not every group can be recovered from its group von Neumann algebra, we…