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Books > Science & Mathematics > Mathematics > Algebra
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State Spaces of Operator Algebras - Basic Theory, Orientations, and C*-products (Hardcover, 2001 ed.)
Loot Price: R1,735
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State Spaces of Operator Algebras - Basic Theory, Orientations, and C*-products (Hardcover, 2001 ed.)
Series: Mathematics: Theory & Applications
Expected to ship within 10 - 15 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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