相关论文: Sofic groups and convolution operators

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This paper has been withdrawn by the author(s) and included into the new version of "An extension theorem for separately holomorphic functions with singularities", math.CV/0104089.

This paper has been withdrawn by the author.

This paper has been withdrawn by the author, because a better treatment is given in the author's Phd. thesis (Sections 3.4.6 and 4.4), now available on the arxiv.

In this article we formulate a version of the analytic Novikov conjecture for semigroups rather than groups, and show that the descent argument from coarse geometry generalises effectively to this new situation.

Relatively recently, two new classes of (discrete, countable) groups have been isolated: hyperlinear groups and sofic groups. They come from different corners of mathematics (operator algebras and symbolic dynamics, respectively), and were…

This paper has been withdrawn by the author because Conjecture 1 is false. Please see arXiv:0901.2093 for a justification that Conjecture 1 is false. The other main results are also available from the above URL.

This paper has been withdrawn by the authors.

This paper has been withdrawn by the author.

This paper has been withdrawn by the author due to an error in an inequality in the proof of Theorem 1.1.

In this talk, I will survey recent progress made on the classification of von Neumann algebras arising from countable groups and their actions on probability spaces. In particular, I will present the first results which provide classes of…

This paper has been withdrawn by the author due to an error in section 7. There is a new version: arXiv:1011.3352.

This paper has been withdrawn by the author, since it is now a part of "Classical aspects of lightlike dimensional reduction" Class.Quant.Grav.23:7085-7110, 2006, gr-qc/0610011

This paper is being withdrawn because another paper by the author makes it obsolete. See comments for directions to new paper.

This paper has been withdrawn and no version of it will ever be published.

This paper has been withdrawn by the author, due to errors in the figures.

This paper has been withdrawn to address an omission. It will be resubmitted in the near future.

This paper has been withdrawn by the author.

The groups distinguish their von Neumann algebras, in the case when these are factors.