MARC Record from marc_columbia

LEADER: 03536fam a2200385 a 4500
001 1970963
005 20220609041116.0
008 960419t19961996riua b 001 0 eng
010 $a 96020184
020 $a0821805991 (alk. paper)
035 $a(OCoLC)34669383
035 $a(OCoLC)ocm34669383
035 $9AMH6046CU
035 $a(NNC)1970963
035 $a1970963
040 $aDLC$cDLC$dDLC$dOrLoB-B
050 00 $aQA326$b.D375 1996
082 00 $a512/.55$220
100 1 $aDavidson, Kenneth R.$0http://id.loc.gov/authorities/names/n88119292
245 10 $aC*-algebras by example /$cKenneth R. Davidson.
260 $aProvidence, R.I. :$bAmerican Mathematical Society,$c[1996], ©1996.
300 $axiv, 309 pages :$billustrations ;$c27 cm.
336 $atext$btxt$2rdacontent
337 $aunmediated$bn$2rdamedia
490 1 $aFields Institute monographs,$x1069-5273 ;$v6
504 $aIncludes bibliographical references (p. 303-306) and index.
505 00 $gI.$tThe Basics of C*-algebras --$gII.$tNormal Operators and Abelian C*-algebras --$gIII.$tAF C*-algebras --$gIV.$tK-theory for AF C*-algebras --$gV.$tC*-Algebras of Isometries --$gVI.$tIrrational Rotation Algebras --$gVII.$tGroup C*-algebras --$gVIII.$tDiscrete Crossed Products --$gIX.$tBrown-Douglas-Fillmore Theory.
520 $aThe subject of C*-algebras received a dramatic revitalization in the 1970s by the introduction of topological methods through the work of Brown, Douglas, and Fillmore on extensions of C*-algebras and Elliott's use of K-theory to provide a useful classification of AF algebras. These results were the beginning of a marvelous new set of tools for analyzing concrete C*-algebras.
520 8 $aThis book is an introductory graduate level text which presents the basics of the subject through a detailed analysis of several important classes of C*-algebras. The development of operator algebras in the last twenty years has been based on a careful study of these special classes. While there are many books on C*-algebras and operator algebras available, this is the first one to attempt to explain the real examples that researchers use to test their hypotheses.
520 8 $aTopic include AF algebras, Bunce-Deddens and Cuntz algebras, the Toeplitz algebra, irrational rotation algebras, group C*-algebras, discrete crossed products, abelian C*-algebras (spectral theory and approximate unitary equivalence) and extensions. It also introduces many modern concepts and results in the subject such as real rank zero algebras, topological stable rank, quasidiagonality, and various new constructions.
520 8 $aThese notes were compiled during the author's participation in the special year on C*-algebras at the Fields Institute of Mathematics during the 1994-1995 academic year. The field of C*-algebras touches upon many other areas of mathematics such as group representations, dynamical systems, physics, K-theory, and topology. The variety of examples offered in this text expose the student to many of these connections.
520 8 $aA graduate student with a solid course in functional analysis should be able to read this book. This should prepare them to read much of the current literature. This book is reasonably self-contained, and the author has provided results from other areas when necessary.
650 0 $aC*-algebras.$0http://id.loc.gov/authorities/subjects/sh85018534
830 0 $aFields Institute monographs ;$v6.$0http://id.loc.gov/authorities/names/n93094774
852 00 $bmat$hQA326$i.D375 1996