========= 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 [[instructions | 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
  * [[bm|Boolean-Monotone independence]]
  * 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
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