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Fundamentals of the Theory of Operator Algebras. Volume IV
Richard V. Kadison and John R. Ringrose
cover
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1991; 587 pp; softcover
ISBN-10: 0-8218-9468-4
ISBN-13: 978-0-8218-9468-2
List Price: US$65
Member Price: US$52
Order Code: FTOAN/4.S
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This volume is the companion volume to Fundamentals of the Theory of Operator Algebras. Volume II--Advanced Theory (Graduate Studies in Mathematics series, Volume 16). The goal of the text proper is to teach the subject and lead readers to where the vast literature--in the subject specifically and in its many applications--becomes accessible. The choice of material was made from among the fundamentals of what may be called the "classical" theory of operator algebras. This volume contains the written solutions to the exercises in the Fundamentals of the Theory of Operator Algebras. Volume II--Advanced Theory.

Readership

Graduate students, research mathematicians, educators, and mathematical physicists interested in functional analysis, operator algebras, and applications.

Reviews

"Organization (exercise groupings), extra index of volumes III and IV and the special bibliography will be very helpful in finding material for seminar or private projects."

-- Monatshefte für Mathematik

Table of Contents

  • Comparison theory of projections--exercises and solutions
  • Normal states and unitary equivalence of von Neumann algebras --exercises and solutions
  • The trace--exercises and solutions
  • Algebra and commutant--exercises and solutions
  • Special representations of \(C^*\)-algebras--exercises and solutions
  • Tensor products--exercises and solutions
  • Approximation by matrix algebras--exercises and solutions
  • Crossed products--exercises and solutions
  • Direct integrals and decompositions--exercises and solutions
  • Bibliography
  • Index
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