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Books > Science & Mathematics > Mathematics > Algebra
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State Spaces of Operator Algebras - Basic Theory, Orientations, and C*-products (Paperback, Softcover reprint of the original 1st ed. 2001)
Loot Price: R1,427
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State Spaces of Operator Algebras - Basic Theory, Orientations, and C*-products (Paperback, Softcover reprint of the original 1st ed. 2001)
Series: Mathematics: Theory & Applications
Expected to ship within 18 - 22 working days
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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
orientation of C*-algebra state spaces is presented with a new
approach that does not depend on Jordan algebras, and the theory of
orientation of normal state spaces of von Neumann algebras is
presented with complete proofs for the first time. 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.Key features include: * first and only work devoted to state
spaces of operator algebras-- contains much material not available
in existing books * prerequisites are standard graduate courses in
real and complex variables, measure theory, and functional analysis
* complete proofs of basic results on operator algebras presented
so that no previous knowledge in the field is needed * detailed
introduction develops basic tools used throughout the text *
numerous chapter remarks on advanced topics of independent interest
with references to the literature, or discussion of applications to
physics State Spaces of Operator Algebras is intended for
specialists in operator algebras, as well as graduate students and
mathematicians seeking an overview of the field. The introduction
to C*-algebras and von Neumann algebras may also be of interest in
it own right for those wanting a quick introduction to basic
concepts in those fields.
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