Selfless C*-algebras

Abstract

The aim of this note is to advertise a class of simple C*-algebras which includes noteworthy examples such as the Jiang-Su C*-algebra, the infinite dimensional UHF C*-algebras, the reduced group C*-algebra of the free group in infinitely many generators, and the Cuntz algebras.

Significantly expanded initial note with new results and a broader definition of the class of C*-algebras studied in the paper