4 papers
Rationally Connected Varieties and Loop Spaces
L. Lempert, E. Szabo
We consider rationally connected complex projective manifolds M and show that their loop spaces--infinite dimensional complex manifolds--have properties similar to those of M. Furt…
On sofic groups
G. Elek, E. Szabo
Answering some queries of Weiss, we prove that the free product and amenable extensions of sofic groups are sofic as well, and give an example of a finitely generated sofic group t…
Sofic groups and direct finiteness
G. Elek, E. Szabo
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…
Fixed points of group actions and rational maps
János Kollár, Endre Szabó
The aim of this note is to give simple proofs of some results of Reichstein and Youssin (math.AG/9903162) about the behaviour of fixed points of finite group actions under rational…