# Partial actions and KMS states on relative graph C⁎-algebras☆

@article{Carlsen2013PartialAA, title={Partial actions and KMS states on relative graph C⁎-algebras☆}, author={Toke Meier Carlsen and Nadia S. Larsen}, journal={Journal of Functional Analysis}, year={2013}, volume={271}, pages={2090-2132} }

## 48 Citations

### Quasi-Free Actions on Graph Algebras: KMS States and the Structure of Crossed Products

- Mathematics

This dissertation deals with the study of C∗-dynamical systems. A C∗-dynamical system consists of a space called a C∗-algebra along with an action of a group on it. The systems that are the object of…

### KMS states on the $C^{\ast }$-algebras of reducible graphs

- MathematicsErgodic Theory and Dynamical Systems
- 2014

We consider the dynamics on the $C^{\ast }$-algebras of finite graphs obtained by lifting the gauge action to an action of the real line. Enomoto, Fujii and Watatani [KMS states for gauge action on…

### KMS states on the C*-algebras of reducible graphs

- Mathematics
- 2014

We consider the dynamics on the C*-algebras of finite graphs obtained by lifting the gauge action to an action of the real line. Enomoto, Fujii and Watatani proved that if the vertex matrix of the…

### KMS and Ground States on Ultragraph C*-Algebras

- MathematicsIntegral Equations and Operator Theory
- 2018

We describe KMS and ground states arising from a generalized gauge action on ultragraph C*-algebras. We focus on ultragraphs that satisfy Condition (RFUM), so that we can use the partial crossed…

### KMS States on the Operator Algebras of Reducible Higher-Rank Graphs

- Mathematics
- 2016

We study the equilibrium or KMS states of the Toeplitz $$C^*$$C∗-algebra of a finite higher-rank graph which is reducible. The Toeplitz algebra carries a gauge action of a higher-dimensional torus,…

### Limits of KMS states on Toeplitz algebras of finite graphs

- Mathematics
- 2021

The structure of KMS states of Toeplitz algebras associated to finite graphs equipped with the gauge action is determined by an Huef–Laca–Raeburn–Sims. Their results imply that extremal KMS states of…

### KMS states on the C*-algebra of a higher-rank graph and periodicity in the path space

- Mathematics
- 2014

### Convex subshifts, separated Bratteli diagrams, and ideal structure of tame separated graph algebras

- Mathematics
- 2017

### Equilibrium states on graph algebras

- Mathematics
- 2016

We consider operator-algebraic dynamical systems given by actions of the real line on unital C∗-algebras, and especially the equilibrium states (or KMS states) of such systems. We are particularly…

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