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K-Theory for Operator Algebras (Paperback, Softcover reprint of the original 1st ed. 1986)
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K-Theory for Operator Algebras (Paperback, Softcover reprint of the original 1st ed. 1986)
Series: Mathematical Sciences Research Institute Publications, 5
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K -Theory has revolutionized the study of operator algebras in the
last few years. As the primary component of the subject of
"noncommutative topol ogy," K -theory has opened vast new vistas
within the structure theory of C* algebras, as well as leading to
profound and unexpected applications of opera tor algebras to
problems in geometry and topology. As a result, many topolo gists
and operator algebraists have feverishly begun trying to learn each
others' subjects, and it appears certain that these two branches of
mathematics have become deeply and permanently intertwined. Despite
the fact that the whole subject is only about a decade old,
operator K -theory has now reached a state of relative stability.
While there will undoubtedly be many more revolutionary
developments and applications in the future, it appears the basic
theory has more or less reached a "final form." But because of the
newness of the theory, there has so far been no comprehensive
treatment of the subject. It is the ambitious goal of these notes
to fill this gap. We will develop the K -theory of Banach algebras,
the theory of extensions of C*-algebras, and the operator K -theory
of Kasparov from scratch to its most advanced aspects. We will not
treat applications in detail; however, we will outline the most
striking of the applications to date in a section at the end, as
well as mentioning others at suitable points in the text."
General
Imprint: |
Springer-Verlag New York
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Country of origin: |
United States |
Series: |
Mathematical Sciences Research Institute Publications, 5 |
Release date: |
December 2011 |
First published: |
1986 |
Authors: |
Bruce Blackadar
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Dimensions: |
235 x 155 x 18mm (L x W x T) |
Format: |
Paperback
|
Pages: |
337 |
Edition: |
Softcover reprint of the original 1st ed. 1986 |
ISBN-13: |
978-1-4613-9574-4 |
Categories: |
Books >
Science & Mathematics >
Mathematics >
Topology >
Algebraic topology
|
LSN: |
1-4613-9574-7 |
Barcode: |
9781461395744 |
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