The von Neumann kernel of a locally compact group

Reiter’s Properties for the Actions of Locally Compact Quantum Goups on von Neumann Algebras

reiter’s properties for the actions of locally compact quantum goups on von neumann algebras

Locally Compact Quantum Groups. A von Neumann Algebra Approach

In this paper, we give an alternative approach to the theory of locally compact quantum groups, as developed by Kustermans and Vaes. We start with a von Neumann algebra and a comultiplication on this von Neumann algebra. We assume that there exist faithful left and right Haar weights. Then we develop the theory within this von Neumann algebra setting. In [Math. Scand. 92 (2003), 68–92] locally ...

Reiter’s Properties for the Actions of Locally Compact Quantum Groups on Von Neumann Algebras

The notion of an action of a locally compact quantum group on a von Neumann algebra is studied from the amenability point of view. Various Reiter’s conditions for such an action are discussed. Several applications to some specific actions related to certain representations and corepresentaions are presented.

Kernel Integration using von Neumann Entropy

Kernel methods provide a computational framework to integrate heterogeneous biological data from different sources for a wide range of learning algorithms by designing a kernel for each different information source and combining them in a unique kernel through simple mathematical operations. We develop here a novel technique for weighting kernels based on their von Neumann entropy. This permits...