Invariant Means and Finite Representation Theory of $C^*$-Algebras
Download or Read eBook Invariant Means and Finite Representation Theory of $C^*$-Algebras PDF written by Nathanial Patrick Brown and published by American Mathematical Soc.. This book was released on 2006 with total page 122 pages. Available in PDF, EPUB and Kindle.
| Author | : Nathanial Patrick Brown |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 122 |
| Release | : 2006 |
| ISBN-10 | : 9780821839164 |
| ISBN-13 | : 0821839160 |
| Rating | : 4/5 (64 Downloads) |
Book Synopsis Invariant Means and Finite Representation Theory of $C^*$-Algebras by : Nathanial Patrick Brown
Book excerpt: 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. II$ 1$-factor representations of a class of C$*$-algebras considered by Sorin Popa are also studied. These algebras are shown to have an unexpected variety of II$ 1$-factor representations. In addition to developing some general theory we also show that these ideas are related to numerous other problems inoperator algebras.
