This book offers a comprehensive introduction to the general theory of C*-algebras and von Neumann algebras. Beginning with the basics, the theory is developed through such topics as tensor products, nuclearity and exactness, crossed products, K-theory, and quasidiagonality. The presentation carefully and precisely explains the main features of each part of the theory of operator algebras; most important arguments are at least outlined and many are presented in full detail.
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Editorial Reviews
Review
From the reviews: "The volume under review is supposed to cover basics on operator algebras … . Blackadar’s book is very well written and pleasant to read. It is especially suited to readers who already know the basics of operator algebras but who need a reference for some result or who wish to have a unified approach to topics treated by them." (Paul Jolissaint, Mathematical Reviews, Issue 2006 k) "This volume is an important and useful contribution to the literature on C*-algebras and von Neumann algebras. … The book is extremely well written. It can be recommended as a reference to graduate students working in operator algebra theory and to other mathematicians who want to bring themselves up-to-date on the subject." (V. M. Manuilov, Zentralblatt MATH, Vol. 1092 (18), 2006)
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generalized inductive system, generalized comparability, inner quasidiagonal, increasing approximate unit, right approximate unit, locally finite measure space, normal semifinite weight, normalized quasitraces, completely positive contraction, full positive element, countably decomposable case, quasidiagonal extension, semicontinuous weight, group measure space construction, nonclosed ideals, nonzero subprojections, real rank zero, weakly unperforated, separable predual, normal conditional expectation, injective connecting maps, nonunital case, stable rank one, orthogonal subprojections, unital category Key Phrases - Capitalized Phrases (CAPs): (learn more)
Hilbert B-module, Banach A-module, Let Abe, Hilbert A-module, Hilbert C-module, Kaplansky Density Theorem, Mackey Borel, Stabilization Theorem, Banach B-module, Hahn-Banach Theorem, Riesz Representation Theorem, Continuous Functional Calculus, Hopf-von Neumann, Let All, Open Mapping Theorem, Baire Category Theorem, Closed Graph Theorem, Murray-von Neumann, Riesz Decomposition New!
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generalized inductive system, generalized comparability, inner quasidiagonal, increasing approximate unit, right approximate unit, locally finite measure space, normal semifinite weight, normalized quasitraces, completely positive contraction, full positive element, countably decomposable case, quasidiagonal extension, semicontinuous weight, group measure space construction, nonclosed ideals, nonzero subprojections, real rank zero, weakly unperforated, separable predual, normal conditional expectation, injective connecting maps, nonunital case, stable rank one, orthogonal subprojections, unital category Key Phrases - Capitalized Phrases (CAPs): (learn more)
Hilbert B-module, Banach A-module, Let Abe, Hilbert A-module, Hilbert C-module, Kaplansky Density Theorem, Mackey Borel, Stabilization Theorem, Banach B-module, Hahn-Banach Theorem, Riesz Representation Theorem, Continuous Functional Calculus, Hopf-von Neumann, Let All, Open Mapping Theorem, Baire Category Theorem, Closed Graph Theorem, Murray-von Neumann, Riesz Decomposition New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
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