Tron Omland

activity

20092026

most citedOn the K-theory of C*-algebras arising from integral dynamics

21 citations · 82 across the 27 of their papers we have counts for

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Showing 2026Show all

4 papers · 1 filter

math.OA2026

$Z$ -stable and selfless inclusions for the infinite braid group

Tron Omland

Let $B_{\infty}$ and $P_{\infty}$ be the braid group and the pure braid group on infinitely many strands. We show that the inclusion $C_{r}^{*} (P_{\infty}) \subseteq C_{r}^{*} (B_{\infty})$ is $\mat…

quant-ph2026

Universal Quantum Computation with Multi-Mode Schrödinger Cat States Stabilized by Non-Local Dissipation Engineering

Jesper Lind-Olsen, Jonas Lidal, Tron Omland +1

Schrödinger cat states provide a hardware-efficient platform for bosonic quantum error correction by encoding logical information in protected manifolds of harmonic oscillators. Wh…

math.OA2026

Selflessness for twisted group C*-algebras of amenable groups and their inclusions

Tron Omland

For a discrete amenable group $G$ with a two-cocycle $σ$ , we study when the twisted group $C^{*}$ -algebra $C_{r}^{*} (G, σ)$ is selfless, in the sense of Robert. For a countably infinite a…

math.OA2026

The Bures metric and the quantum metric on the density space of a C*-algebra: the non-unital case

Konrad Aguilar, Karina Behera, Katrine von Bornemann Hjelmborg +4

Building off work of Farenick and Rahaman, we extend the definition of the density space and the Bures metric to the setting of non-unital C*-algebras equipped with a faithful trac…

Z-stable and selfless inclusions for the infinite braid group

Universal Quantum Computation with Multi-Mode Schrödinger Cat States Stabilized by Non-Local Dissipation Engineering

Selflessness for twisted group C*-algebras of amenable groups and their inclusions

The Bures metric and the quantum metric on the density space of a C*-algebra: the non-unital case

$Z$ -stable and selfless inclusions for the infinite braid group