Preprint / Version 0

Selfless Inclusions of C*-Algebras

Authors

  • Ben Hayes
  • Srivatsav Kunnawalkam Elayavalli
  • Gregory Patchell
  • Leonel Robert

Abstract

We introduce and study a natural notion of selflessness for inclusions of C*-probability spaces, which in particular implies that all intermediate C*-algebras are selfless in the sense of Robert. We identify natural sources of selfless inclusions in the realms of Z-stable and free product C*-algebras. As an application of this, we prove selflessness for a new family of C*-probability spaces outside the regime of free products and group C*-algebras. These include the reduced free unitary compact quantum groups.

References

Downloads

Posted

2025-12-03