10 papers
Gravitational Waves from Dimension-6 Assisted Peccei - Quinn Phase Transitions
Nico Benincasa, Kristjan Müürsepp
We consider a simple model-independent extension of the minimal KSVZ axion model, augmenting the Peccei - Quinn effective potential with a dimension-6 operator invariant under the…
The Borel complexity of non-Archimedean operator ranges
Martino Lupini
We completely classify the possible complexity classes of non-closed operator ranges on separable Banach spaces over a Polish non-Archimedean non-trivially valued field. These are…
Polarities, voltages, and capacitors: a categorical approach to hulls, envelopes, and completions
Ivan Di Liberti, Martino Lupini
This article provides a general framework in the context of category theory where one can recognize as particular instances of the same abstract construction several notions of com…
A new characterization of (pre)liminary C*-algebras
Martino Lupini
Given an arbitrary countable ordinal , we introduce the notion of type C*-algebra and -subhomogeneous C*-algebra. When , these recover the notions of Fell C*…
Applications of Borel-definable homological algebra to locally compact groups
Martino Lupini
We apply the description of the left heart of the category of locally compact Polish abelian groups in terms of groups with a Polish cover and Borel-definable grou…
Derivation length and automorphism length of unital C*-algebras
Martino Lupini
This paper is a contribution to the study of the ordinal-valued invariants of derivation and automorphism length. Akemann--Pedersen and Elliott proved that a separable unital C*-al…