Vorträge im Schwerpunkt Reelle Geometrie und Algebra
Donnerstag, 22.Juli 2010, um 15:30 Uhr in F426 (Allgemeines Kolloquium)
Ken Dykema (Texas A&M)
On approximation of groups by permutations and operators by matrices
A sofic group is one that can be approximated by permutations of
finite sets in a particular sense. This notion was introduced by
Gromov, and it is an open question whether all groups are sofic.
An analogous question is Connes' embedding problem, which is equivalent
to asking whether all operators (in von Neumann algebras with traces)
can be approximated by matrices, in a specific sense. These
questions and some partial results (involving amalgamated free
products) will be discussed. Familiarity with von Neumann
algebras will not be assumed.
zuletzt
geändert am 06. Juli 2010
