7 papers · 1 filter
On the isomorphism class of -Gaussian C-algebras for infinite variables
Matthijs Borst, Martijn Caspers, Mario Klisse +1
For a real Hilbert space and Bozejko and Speicher introduced the C-algebra and von Neumann algebra …
Graph product Khintchine inequalities and Hecke C*-algebras: Haagerup inequalities, (non)simplicity, nuclearity and exactness
Martijn Caspers, Mario Klisse, Nadia S. Larsen
Graph products of groups were introduced by Green in her thesis. They have an operator algebraic counterpart introduced and explored by Fima and the first-named author. In this pap…
-cohomology, derivations and quantum Markov semi-groups on -Gaussian algebras
Martijn Caspers, Yusuke Isono, Mateusz Wasilewski
We study (quasi-)cohomological properties through an analysis of quantum Markov semi-groups. We construct higher order Hochschild cocycles using gradient forms associated with a qu…
BMO-estimates for non-commutative vector valued Lipschitz functions
Martijn Caspers, Marius Junge, Fedor Sukochev +1
We construct Markov semi-groups and associated BMO-spaces on a finite von Neumann algebra and obtain results for perturbations of commutators and n…
Gradient forms and strong solidity of free quantum groups
Martijn Caspers
Consider the free orthogonal quantum groups and free unitary quantum groups with . In the case it was proved both by Isono and Fima…
Weight theory for ultraproducts
Martijn Caspers
For a family of von Neumann algebras equipped with normal weights we define the ultraproduct weight on the Groh--Raynaud ultrapower $\prod_{j, ω} \m…