# 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}
}
• Published 4 November 2013
• Mathematics
• Journal of Functional Analysis
• 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
• Mathematics
Ergodic 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
• 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
• Mathematics
Integral 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
• 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,
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
• 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

## References

SHOWING 1-10 OF 35 REFERENCES

• Mathematics
• 2000
Abstract: Given a countably infinite 0–1 matrix A without identically zero rows, let 𝒪A be the Cuntz–Krieger algebra recently introduced by the authors and 𝒯A be the Toeplitz extension of 𝒪A, once
• Mathematics
• 1997
A collection of partial isometries whose range and initial pro- jections satisfy a specified set of conditions often gives rise to a partial rep- resentation of a group. The corresponding C -algebra
• Mathematics
• 2000
Abstract: To any periodic and full C*-dynamical system , an invertible operator s acting on the Banach space of trace functionals of the fixed point algebra is canonically associated. KMS states
Abstract.Given a zero-one matrix A we consider certain one-parameter groups of automorphisms of the Cuntz-Krieger algebra $${\user1{\mathcal{O}}}_{A}$$, generalizing the usual gauge group, and
• Mathematics
• 2011
We continue an investigation initiated by Consani-Marcolli of the relation between the algebraic geometry of p-adic Mumford curves and the noncommutative geometry of graph C*-algebras associated to
• Mathematics
• 1998
Suppose a C*-algebra A acts by adjointable operators on a Hilbert A-module X. Pimsner constructed a C*-algebra O_X which includes, for particular choices of X, crossed products of A by Z, the Cuntz
We describe KMS-states on the C -algebras of etale groupoids in terms of measurable elds of traces on the C -algebras of the isotropy groups. We use this description to analyze tracial states on the