K. Brix

activity

20182021

collaborators

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4 papers · 1 filter

math.OA2021

Sturmian subshifts and their C*-algebras

Kevin Aguyar Brix

This paper investigates the structure of C*-algebras built from one-sided Sturmian subshifts. They are parametrised by irrationals in the unit interval and built from a local homeo…

math.OA2019

Balanced strong shift equivalence, balanced in-splits, and eventual conjugacy

Kevin Aguyar Brix

We introduce the notion of balanced strong shift equivalence between square nonnegative integer matrices, and show that two finite graphs with no sinks are one-sided eventually con…

math.OA2019

C*-algebras, groupoids and covers of shift spaces

Kevin Aguyar Brix, Toke Meier Carlsen

To every one-sided shift space $X$ we associate a cover $X ~$ , a groupoid $G_{X}$ and a $C^{*}$ -algebra $O_{X}$ …

math.OA2018

$C^{*}$ -simplicity and representations of topological full groups of groupoids

Kevin Aguyar Brix, Eduardo Scarparo

Given an ample groupoid $G$ with compact unit space, we study the canonical representation of the topological full group $[[G]]$ in the full groupoid $C^{*}$ -algebra $C^{*} (G)$ . In par…

Sturmian subshifts and their C*-algebras

Balanced strong shift equivalence, balanced in-splits, and eventual conjugacy

C*-algebras, groupoids and covers of shift spaces

C∗-simplicity and representations of topological full groups of groupoids

$C^{*}$ -simplicity and representations of topological full groups of groupoids