Publications (6)
Radial multipliers on arbitrary amalgamated free products of finite von Neumann algebras
Steven Deprez
Let be a (finite or infinite) family of finite von Neumann algebras with a common subalgebra . When $Ï:\IN\rightarrow\IC$ is a function, we define the radial multip…
Permanence properties of property A and coarse embeddability for locally compact groups
Steven Deprez, Kang Li
If is a lattice in a locally compact second countable group , then we show that has property A (respectively is coarsely embeddable into Hilbert space) if and only if $H…
Type II factors with arbitrary countable endomorphism group
Steven Deprez
In \cite{Ioana:vNsuperrigidity}, Ioana introduced three new invariants of type II factors: the one-sided fundamental group, the endomorphism semigroup and the set of right-fini…
Explicit examples of equivalence relations and factors with prescribed fundamental group and outer automorphism group
Steven Deprez
In this paper we give a number of explicit constructions for II factors and II equivalence relations that have prescribed fundamental group and outer automorphism group. We…
A classification of all finite index subfactors for a class of group-measure space II_1 factors
Steven Deprez, Stefaan Vaes
We provide a family of group measure space II_1 factors for which all finite index subfactors can be explicitly listed. In particular, the set of all indices of irreducible subfact…
Property A and uniform embedding for locally compact groups
Steven Deprez, Kang Li
For locally compact groups, we define an analogue to Yu's property A that he defined for discrete metric spaces. We show that our property A for locally compact groups agrees with…