Various subsets of the tracial state space of a unital C*-algebra are studied. The largest of these subsets has a natural interpretation as the space of invariant means. II1-factor representations of a class of C*-algebras considered by Sorin Popa are also studied. These algebras are shown to have an unexpected variety of II1-factor representations. In addition to developing some general theory we also show that these ideas are related to numerous other problems in operator algebras.
|Original language||English (US)|
|Number of pages||107|
|Journal||Memoirs of the American Mathematical Society|
|State||Published - Nov 1 2006|
All Science Journal Classification (ASJC) codes
- Applied Mathematics