Non-commutative independences
This is a wiki dedicated to non-commutative independences. The objective is to build a catalog with a few informations about each of them and bibliographical references.
I am listing here some non-commutative independences I am aware of (NG writing). Of course, do not hesitate to add to the list those missings, even if you do not have time/energy to write an entry about it.
You will find here some advices to write an entry.
One state:
- Voiculescu's Freeness
- Boolean independence
- Monotone independence
- Orthogonal independence
- V Freeness
- Freeness with subordination
- Matricial freeness
Mixtures:
- $\Lambda$ Freeness = $\varepsilon$ freeness
- $\Lambda$ Boolean
- Boolean-free independence
Two states:
- Conditional Freeness
- Conditional Monotone independence
- Infinitesimal Freeness
- Infinitesimal Boolean
- Infinitesimal Monotone
- Cyclic Monotone
- Cyclic Boolean
- Cyclic free
- $O$ indepedendences
Three states:
- Cyclic Conditional
- Indented independence
Two faces:
- Bi-freeness
- Bi-Boolean
- Type I Bi-monotone
- Type II Bi-monotone
- Boolean-free
