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Notes on the Brown-Douglas-Fillmore ...

Chavan, Sameer,

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Notes on the Brown-Douglas-Fillmore theorem /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Notes on the Brown-Douglas-Fillmore theorem // Sameer Chavan, Gadadhar Misra.
remainder title:	Brown-Douglas-Fillmore theorem
Author:	Chavan, Sameer,
other author:	Misra, Gadadhar,
Published:	Cambridge ;Cambridge University Press, : 2021.,
Description:	xi, 246 p. ;25 cm.
[NT 15003449]:	Spectral theory for Hilbert space operators -- Ext(X) as a semigroupwith identity -- Splitting and the Mayer-Vietoris sequence -- Determinationof Ext(X) as a group for planar sets -- Applications to operator theory.
Subject:	C*-algebras. -
ISBN:	9781316519301

Notes on the Brown-Douglas-Fillmore theorem /
Chavan, Sameer,

Notes on the Brown-Douglas-Fillmore theorem /Brown-Douglas-Fillmore theoremSameer Chavan, Gadadhar Misra. - Cambridge ;Cambridge University Press,2021. - xi, 246 p. ;25 cm. - Cambridge-IISc series.

Includes bibliographical references and indexes.

Spectral theory for Hilbert space operators -- Ext(X) as a semigroupwith identity -- Splitting and the Mayer-Vietoris sequence -- Determinationof Ext(X) as a group for planar sets -- Applications to operator theory.

"The Brown-Douglas-Fillmore (BDF) Theorem is a remarkable theorem usedin the study of C*-algebra and non-commutative geometry; it solved many openproblems of operator theory. It was a revolutionary theorem that used newtools from algebraic topology to study many questions about extensions ofcommutative C*-algebra and related fields. The theorem also inspired manyextensions of arbitrary C*-algebra, which later became important innon-commutative geometry and K theory. The book presents the originalapproach of BDF in pure form with some modifications and improvements in theexposition. Authors have emphasized the initial exposition of Brown,Douglas, and Fillmore appearing in the article, Unitary equivalence modulothe compact operators and extensions of C*-algebras, published in theSpringer Lecture Notes 345. They have tried to preserve the crucialconnection of BDF with concrete problems in operator theory. This connectionis very relevant and many evolving research areas like Hilbert modules andCowern- Douglas operator back this fact"--

ISBN: 9781316519301GBP95

LCCN: 2021013072Subjects--Topical Terms:

542530
C*-algebras.

LC Class. No.: QA329 / .C43 2021

Dewey Class. No.: 515/.724

Notes on the Brown-Douglas-Fillmore theorem /
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100 1 $a Chavan, Sameer, $e author. $3 3565444
245 1 0 $a Notes on the Brown-Douglas-Fillmore theorem / $c Sameer Chavan, Gadadhar Misra.
246 3 # $a Brown-Douglas-Fillmore theorem
260 # $a Cambridge ; $a New York, NY : $b Cambridge University Press, $c 2021.
300 $a xi, 246 p. ; $c 25 cm.
490 0 $a Cambridge-IISc series
504 $a Includes bibliographical references and indexes.
505 0 # $a Spectral theory for Hilbert space operators -- Ext(X) as a semigroupwith identity -- Splitting and the Mayer-Vietoris sequence -- Determinationof Ext(X) as a group for planar sets -- Applications to operator theory.
520 # $a "The Brown-Douglas-Fillmore (BDF) Theorem is a remarkable theorem usedin the study of C*-algebra and non-commutative geometry; it solved many openproblems of operator theory. It was a revolutionary theorem that used newtools from algebraic topology to study many questions about extensions ofcommutative C*-algebra and related fields. The theorem also inspired manyextensions of arbitrary C*-algebra, which later became important innon-commutative geometry and K theory. The book presents the originalapproach of BDF in pure form with some modifications and improvements in theexposition. Authors have emphasized the initial exposition of Brown,Douglas, and Fillmore appearing in the article, Unitary equivalence modulothe compact operators and extensions of C*-algebras, published in theSpringer Lecture Notes 345. They have tried to preserve the crucialconnection of BDF with concrete problems in operator theory. This connectionis very relevant and many evolving research areas like Hilbert modules andCowern- Douglas operator back this fact"-- $c Provided by publisher.
650 # 0 $a C*-algebras. $3 542530
650 # 0 $a Operator theory. $3 542531
650 # 0 $a Topological algebras. $3 725781
700 1 # $a Misra, Gadadhar, $e author. $3 3565445
776 0 8 $i Online version: $a Chavan, Sameer. $t Notes on the Brown-Douglas-Fillmore theorem $d Cambridge ; New York, NY : Cambridge University Press, 2021 $z 9781009023306 $w (DLC) 2021013073