# Noncommutative Ergodic Theorems

I am looking for books presenting the noncommutative version of ergodic theorems.

The only book I have found is Krengel, Ergodic Theorems, 1985.

Are there other references other than Krengel's book ?

• What do you mean by "noncommutative ergodic theorems"? Do you want theorems of noncommutative groups acting on measure spaces or of actions on von Neumann algebras? – Adrián González-Pérez May 27 '19 at 11:09
• @AdriánGonzález-Pérez the second option, actions on von Neumann algebras. – Neil hawking May 27 '19 at 17:37

Apart from that, you would have to look at articles. The usual references for the weak $$(1,1)$$-inequality of the ergodic maximal are:
The $$L_p$$ case as well as the real interpolation of maximal inequalities is covered in