Invariant Means and Finite Representation Theory of C*-Algebras

Nathanial P. Brown (Autor)

Buch | Softcover

105 Seiten

2006
American Mathematical Society (Verlag)
978-0-8218-3916-4 (ISBN)

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Studies various subsets of the tracial state space of a unital $C^*$-algebra. This book considers II$_1$-factor representations of a class of $C^*$-algebras by Sorin Popa.

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.

Introduction Notation, definitions and useful facts Amenable traces and stronger approximation properties Examples and special cases Finite representations Applications and connections with other areas Bibliography.

Erscheint lt. Verlag	1.11.2006
Reihe/Serie	Memoirs of the American Mathematical Society
Verlagsort	Providence
Sprache	englisch
Gewicht	227 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
ISBN-10	0-8218-3916-0 / 0821839160
ISBN-13	978-0-8218-3916-4 / 9780821839164
Zustand	Neuware