# Reconstruction of groupoids and C*-rigidity of dynamical systems

@article{Carlsen2017ReconstructionOG, title={Reconstruction of groupoids and C*-rigidity of dynamical systems}, author={Toke Meier Carlsen and Efren Ruiz and Aidan Sims and Mark Tomforde}, journal={arXiv: Operator Algebras}, year={2017} }

## 34 Citations

### Simplicity of twisted C*-algebras of Deaconu--Renault groupoids

- Mathematics
- 2021

We consider Deaconu–Renault groupoids associated to actions of finite-rank free abelian monoids by local homeomorphisms of locally compact Hausdorff spaces. We study simplicity of the twisted…

### Topological full groups of ample groupoids with applications to graph algebras

- MathematicsInternational Journal of Mathematics
- 2019

We study the topological full group of ample groupoids over locally compact spaces. We extend Matui’s definition of the topological full group from the compact to the locally compact case. We provide…

### Certain submodules in groupoid C*-algebras and discrete group coactions on groupoid C*-algebras

- Mathematics
- 2022

. In this paper, we investigate certain submodules in C*-algebras associated to eﬀective ´etale groupoids. First, we show that a submodule generated by normalizers is a closure of the set of…

### Groupoid algebras as covariance algebras

- MathematicsJournal of Operator Theory
- 2021

Suppose G is a second-countable locally compact Hausdorff \'{e}tale groupoid, G is a discrete group containing a unital subsemigroup P, and c:G→G is a continuous cocycle. We derive conditions on the…

### Graded C*-algebras and twisted groupoid C*-algebras

- Mathematics
- 2019

Let $C^*$-algebra that is acted upon by a compact abelian group. We show that if the fixed-point algebra of the action contains a Cartan subalgebra $D$ satisfying an appropriate regularity condition,…

### Reconstruction of twisted Steinberg algebras

- Mathematics
- 2021

We show how to recover a discrete twist over an ample Hausdorff groupoid from a pair consisting of an algebra and what we call a quasi-Cartan subalgebra. We identify precisely which twists arise in…

### Refined moves for structure-preserving isomorphism of graph C*-algebras

- Mathematics
- 2019

We formalize eight different notions of isomorphism among (unital) graph C*-algebras, and initiate the study of which of these notions may be described geometrically as generated by moves. We propose…

### Asymptotic continuous orbit equivalence of expansive systems

- MathematicsStudia Mathematica
- 2021

We introduce notions of asymptotic continuous orbit equivalence and (strongly) asymptotic conjugacy for expansive systems, and characterize them in terms of the transformation groupoids, the…

### Topological full groups of ultragraph groupoids as an isomorphism invariant

- Mathematics
- 2019

We prove two isomorphism-invariance theorems for groupoids associated with ultragraphs. These theorems characterize ultragraphs for which the topological full group of an associated groupoid is an…

### A note on the core of Steinberg algebras.

- Mathematics
- 2019

In this short note we show that, for an ample Hausdorff groupoid $G$, and the Steinberg algebra $A_R(G)$ with coefficients in the commutative ring $R$, the centraliser of subalgebra $A_R(G^{(0)})$ of…

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