相关论文: Sofic groups and convolution operators
This paper has been withdrawn by the author. The content of the previous versions is now covered by the more recent papers - math.DG/0610252 (concerning the Lie group structuren on the gauge groups) - math.DG/0612522 (concerning the weak…
We construct an analogue of Neumann's affiliated algebras for sofic group algebras over arbitrary fields. Consequently, we settle Kaplansky's direct finiteness conjecture for sofic groups.
This paper has been withdrawn.
This paper has been withdrawn by the authors due to the fact that the conjecture has indeed already long been established.
The paper has been withdrawn due to a crucial error in section 3.
The paper has been withdrawn by the author.
This paper has been withdrawn. The results are now part of math.GR/9804072.
This paper has been withdrawn by the author, since the result was already known.
This paper has been withdrawn by the author, due an error in the proof of Proposion 2.13.
This paper has been withdrawn by the author(s), due the final version in math.QA/0604564
The paper has been withdrawn.
This paper has been withdrawn by the author.
The paper is withdrawn. The reviewer pointed out that the assertion that the quantity $D_{\Gamma}$ is finite (used by the author) is still unproved for the general group, and perhaps is false.
This paper has been withdrawn by the author [arXiv admin].
This paper has been withdrawn by the authors because it has been combined with "Higher Auslander Algebras Admitting Trivial Maximal Orthogonal Subcategories" (arXiv:0903.0761) together.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This paper has been withdrawn by the author due to that the main results and approaches are closedly parallel to the ones in Lie algebra case.
This paper has been withdrawn by the authors. Because of a misunderstanding, the paper was submitted prematurely to the arXiv. A replacement will follow.
Let $M$ be a finite von Neumann algebra. In the first part, we give asymptotic results about $M$-stable sequences of weak*-continuous mappings which are related with operators belonging to $M$. In the second part, we extend, by a shorter…
This paper has been withdrawn by the author.
This paper has been withdrawn by the author.