3 citations · 3 across the 7 of their papers we have counts for
10 papers
Noncommutative protori and inductive spectral triples
Remus Floricel, Patrick Melanson
We study inductive limits of higher-dimensional noncommutative tori, which we call noncommutative protori. We compute the Elliott invariants for broad classes of unital and nonunit…
Bures--Kuratowski metrics and simplicial complexes for completely bounded maps
Remus Floricel, Sarah Plosker, Avner Sadikov
Let be a unital -algebra and a Hilbert space. The cone $\CP(A,B(H))$ of completely positive maps carries the Bures metric , closely related to the cb-norm. We intro…
Factorizing random sets and type III Arveson systems
Remus Floricel
We develop a representative-level framework for the Liebscher-Tsirelson random-set construction of Arveson systems from stationary factorizing measure types. We introduce the notio…
Product systems arising from Lévy processe
Remus Floricel, Peter Wadel
This paper investigates the structure of product systems of Hilbert spaces derived from Banach space-valued Lévy processes. We establish conditions under which these product system…
Convergence of Tsirelson convolution systems of probability spaces
Remus Floricel, Patrick Melanson
We associate two specific projective systems of probability spaces with any Tsirelson convolution system. If the projective limits of these systems exist, then we call the convolut…
-subproduct and product systems
Remus Floricel, Brian Ketelboeter
We introduce and study two-parameter subproduct and product systems of -algebras as the operator-algebraic analogues of, and in relation to, Tsirelson's two-parameter product…