ebokPDF » Science & Math » Invariant Means and Finite Representation Theory of $c*$-Algebras (Memoirs of the American Mathematical Society)

Categories

Arts, Photography
Biographies, Memoirs
Business, Money
Children's Books
Christian Books, Bibles
Comics, Graphic Novels
Computers, Technology
Cookbooks, Food, Wine
Crafts, Hobbies, Home
Education, Teaching
Engineering, Transportation
Gay, Lesbian
Health, Fitness, Dieting
History
Humor, Entertainment
Law
Literature, Fiction
Medical Books
Mystery, Thriller, Suspense
Parenting, Relationships
Politics, Social Sciences
Reference
Religion, Spirituality
Romance
Science, Math
Science Fiction, Fantasy
Self-Help
Sports, Outdoors
Teen, Young Adult
Test Preparation
Travel
Other
No category

Popular books

Science & Math

**Author:** Nathanial P. Brown

**Book title:** Invariant Means and Finite Representation Theory of $c*$-Algebras (Memoirs of the American Mathematical Society)

**ISBN:** 0821839160

**ISBN13:** 978-0821839164

**Publisher:** American Mathematical Society (October 5, 2006)

**Language:** English

**Category:** Mathematics

**Rating:** 4.8/5

**Votes:** 969

**Pages:** 105 pages

**More formats:** txt doc mbr txt

**1376 downloads at 15 mb/s**

PDF format

**1247 downloads at 11 mb/s**

EPUB format

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 in operator algebras.