000			02960nam a22004575i 4500
001			978-3-0346-0565-6
003			DE-He213
005			20140220084518.0
007			cr nn 008mamaa
008			100917s2010 sz | s |||| 0|eng d
020			_a9783034605656 _9978-3-0346-0565-6
024	7		_a10.1007/978-3-0346-0565-6 _2doi
050		4	_aQA612-612.8
072		7	_aPBPD _2bicssc
072		7	_aMAT038000 _2bisacsh
082	0	4	_a514.2 _223
100	1		_aØstvær, Paul Arne. _eauthor.
245	1	0	_aHomotopy Theory of C*-Algebras _h[electronic resource] / _cby Paul Arne Østvær.
264		1	_aBasel : _bSpringer Basel, _c2010.
300			_aVI, 140p. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aFrontiers in Mathematics, _x1660-8046
505	0		_a1 Introduction -- 2 Preliminaries -- 2.1 C*-spaces -- 2.2 G – C*-spaces -- 2.3 Model categories -- 3 Unstable C*-homotopy theory -- 3.1 Pointwise model structures -- 3.2 Exact model structures -- 3.3 Matrix invariant model structures -- 3.4 Homotopy invariant model structures -- 3.5 Pointed model structures -- 3.6 Base change -- 4 Stable C*-homotopy theory -- 4.1 C*-spectra -- 4.2 Bispectra -- 4.3 Triangulated structure -- 4.4 Brown representability -- 4.5 C*-symmetric spectra -- 4.6 C*-functors -- 5 Invariants -- 5.1 Cohomology and homology theories -- 5.2 KK-theory and the Eilenberg-MacLane spectrum -- 5.3 HL-theory and the Eilenberg-MacLane -- 5.4 The Chern-Connes-Karoubi character -- 5.5 K-theory of C*-algebras -- 5.6 Zeta functions -- 6 The slice filtration -- References -- Index.
520			_aHomotopy theory and C*-algebras are central topics in contemporary mathematics. This book introduces a modern homotopy theory for C*-algebras. One basic idea of the setup is to merge C*-algebras and spaces studied in algebraic topology into one category comprising C*-spaces. These objects are suitable fodder for standard homotopy theoretic moves, leading to unstable and stable model structures. With the foundations in place one is led to natural definitions of invariants for C*-spaces such as homology and cohomology theories, K-theory and zeta-functions. The text is largely self-contained. It serves a wide audience of graduate students and researchers interested in C*-algebras, homotopy theory and applications.
650		0	_aMathematics.
650		0	_aFunctional analysis.
650		0	_aAlgebraic topology.
650	1	4	_aMathematics.
650	2	4	_aAlgebraic Topology.
650	2	4	_aFunctional Analysis.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9783034605649
830		0	_aFrontiers in Mathematics, _x1660-8046
856	4	0	_uhttp://dx.doi.org/10.1007/978-3-0346-0565-6
912			_aZDB-2-SMA
999			_c111125 _d111125