© 2001
State Spaces of Operator Algebras
Basic Theory, Orientations, and C*-products
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- 2.7k Downloads
Part of the Mathematics: Theory & Applications book series (MTA)
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© 2001
Part of the Mathematics: Theory & Applications book series (MTA)
"This excellent book was born out of the authors’ successful attempts to answer questions [like] ‘When is a compact convex set the state space of a C*-algebra?’ . . . I would regard the book as essential reading for any graduate student working in C*-algebras and related areas, particularly those with an interest in geometry."
—Zentralblatt Math
"A useful introduction to an elegant aspect of the theory of operator algebras which has close links to mathematical physics, as well as being of interest in its own right."
—Mathematical Reviews
"This self-contained work, focusing on the theory of state spaces of C*-algebras and von Neumann algebras, explains how the oriented state space geometrically determines the algebra...The theory of operator algebras was initially motivated by applications to physics, but has recently found unexpected new applications to fields of pure mathematics as diverse as foliations and knot theory." ---Analele Stiintifice ale Universitatii,,al. I. Cuza din Iasi