000 02299nam a22003858i 4500
001 CR9780511623806
003 UkCbUP
005 20200124160221.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 090916s2000||||enk o ||1 0|eng|d
020 _a9780511623806 (ebook)
020 _z9780521783347 (hardback)
020 _z9780521789448 (paperback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 0 0 _aQA612.33
_b.R66 2000
082 0 0 _a512/.55
_221
100 1 _aRørdam, M.
_q(Mikael),
_d1959-
_eauthor.
245 1 3 _aAn introduction to K-theory for C*-algebras /
_cM. Rørdam, F. Larsen, N. Laustsen.
264 1 _aCambridge :
_bCambridge University Press,
_c2000.
300 _a1 online resource (xii, 242 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aLondon Mathematical Society student texts ;
_v49
500 _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
520 _aOver the last 25 years K-theory has become an integrated part of the study of C*-algebras. This book gives an elementary introduction to this interesting and rapidly growing area of mathematics. Fundamental to K-theory is the association of a pair of Abelian groups, K0(A) and K1(A), to each C*-algebra A. These groups reflect the properties of A in many ways. This book covers the basic properties of the functors K0 and K1 and their interrelationship. Applications of the theory include Elliott's classification theorem for AF-algebras, and it is shown that each pair of countable Abelian groups arises as the K-groups of some C*-algebra. The theory is well illustrated with 120 exercises and examples, making the book ideal for beginning graduate students working in functional analysis, especially operator algebras, and for researchers from other areas of mathematics who want to learn about this subject.
650 0 _aK-theory.
650 0 _aC*-algebras.
700 1 _aLarsen, F.
_q(Flemming),
_d1971-
_eauthor.
700 1 _aLaustsen, N.
_q(Niels),
_d1969-
_eauthor.
776 0 8 _iPrint version:
_z9780521783347
830 0 _aLondon Mathematical Society student texts ;
_v49.
856 4 0 _uhttps://doi.org/10.1017/CBO9780511623806
999 _c516738
_d516736