# Preferred traces on C⁎-algebras of self-similar groupoids arising as fixed points

@article{Claramunt2017PreferredTO, title={Preferred traces on C⁎-algebras of self-similar groupoids arising as fixed points}, author={Joan Claramunt and Aidan Sims}, journal={Journal of Mathematical Analysis and Applications}, year={2017} }

## 3 Citations

### C*-algebras of self-similar actions of groupoids on higher-rank graphs and their equilibrium states.

- Mathematics
- 2019

We introduce the notion of a self-similar action of a groupoid G on a finite higher-rank graph. To these actions we associate a compactly aligned product system of Hilbert bimodules, and we show that…

### Self-similar k-Graph C*-Algebras

- Mathematics, Computer ScienceInternational Mathematics Research Notices
- 2019

The main results generalize the recent work of Exel and Pardo on self-similar graphs and characterize the simplicity of ${{\mathcal{O}}}_{G,\Lambda }$ in terms of the underlying action, and prove that, whenever the action is simple, there is a dichotomy.

### 𝐶*-algebras of right LCM monoids and their equilibrium states

- MathematicsTransactions of the American Mathematical Society
- 2020

<p>We study the internal structure of <inline-formula content-type="math/mathml">
<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper C Superscript asterisk">
<mml:semantics>…

## References

SHOWING 1-10 OF 23 REFERENCES

### KMS states on C ⁎ -algebras associated to a family of ⁎-commuting local homeomorphisms

- MathematicsJournal of Mathematical Analysis and Applications
- 2018

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

- Mathematics
- 2014

### Equilibrium states on operator algebras associated to self-similar actions of groupoids on graphs

- MathematicsAdvances in Mathematics
- 2018

### The Toeplitz algebra of a Hilbert bimodule

- 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…

### Linear Operators

- MathematicsNature
- 1954

Linear AnalysisMeasure and Integral, Banach and Hilbert Space, Linear Integral Equations. By Prof. Adriaan Cornelis Zaanen. (Bibliotheca Mathematica: a Series of Monographs on Pure and Applied…