activity
20012025
most citedOn Bost-Connes type systems for number fields

44 citations · 307 across the 35 of their papers we have counts for

collaborators

37 papers

math.OA2025

Metrics on completely positive maps via noncommutative geometry

Are Austad, Erik Bédos, Jonas Eidesen +2

We study methods of inducing metrics on unital completely positive maps by employing seminorms arising in noncommutative geometry. Our main approach relies on the development of an…

math.OA2024

Simplicity of -algebras of non-Hausdorff -multispinal groupoids

C. Farsi, N. S. Larsen, J. Packer +1

We study simplicity of -algebras arising from self-similar groups of -multispinal type, a generalization of the Grigorchuk case whose simplicity was first proved…

math.OA2022★ 2 cited

Spectral Triples for Noncommutative Solenoids and a Wiener's lemma

Carla Farsi, Therese Basa Landry, Nadia S. Larsen +1

In this paper we construct odd finitely summable spectral triples based on length functions of bounded doubling on noncommutative solenoids. Our spectral triples induce a Leibniz L…

math.OA2022

Gauge-invariant uniqueness theorems for -graphs

Robert Huben, S. Kaliszewski, Nadia S. Larsen +1

We prove a version of the result in the title that makes use of maximal coactions in the context of discrete groups. Earlier Gauge-Invariant Uniqueness theorems for -algebras…

math.OA2022

KMS states of quasi-free dynamics on -algebras of product systems over right LCM monoids

Luca Eva Gazdag, Marcelo Laca, Nadia S. Larsen

We generalise recent results of Afsar, Larsen and Neshveyev for product systems over quasi-lattice orders by showing that the equilibrium states of quasi-free dynamics on the Nica-…

math.OA2021

Higher dimensional digraphs from cube complexes and their spectral theory

Nadia S. Larsen, Alina Vdovina

We define -dimensional digraphs and initiate a study of their spectral theory. The -dimensional digraphs can be viewed as generating graphs for small categories called -gr…