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001			310141
003			MX-SnUAN
005			20160429160344.0
007			cr nn 008mamaa
008			150903s2007 sz | o |||| 0|eng d
020			_a9783764383992 _99783764383992
024	7		_a10.1007/9783764383992 _2doi
035			_avtls000362893
039		9	_a201509030650 _bVLOAD _c201405070335 _dVLOAD _y201402211134 _zstaff
040			_aMX-SnUAN _bspa _cMX-SnUAN _erda
050		4	_aQA612.33
100	1		_aCuntz, Joachim. _eautor _9350730
245	1	0	_aTopological and Bivariant K-Theory / _cby Joachim Cuntz, Ralf Meyer, Jonathan M. Rosenberg.
264		1	_aBasel : _bBirkhäuser Basel, _c2007.
300			_axI, 262 páginas _brecurso en línea.
336			_atexto _btxt _2rdacontent
337			_acomputadora _bc _2rdamedia
338			_arecurso en línea _bcr _2rdacarrier
347			_aarchivo de texto _bPDF _2rda
490	0		_aOberwolfach Seminars ; _v36
500			_aSpringer eBooks
505	0		_aThe elementary algebra of K-theory -- Functional calculus and topological K-theory -- Homotopy invariance of stabilised algebraic K-theory -- Bott periodicity -- The K-theory of crossed products -- Towards bivariant K-theory: how to classify extensions -- Bivariant K-theory for bornological algebras -- A survey of bivariant K-theories -- Algebras of continuous trace, twisted K-theory -- Crossed products by ? and Connes’ Thom Isomorphism -- Applications to physics -- Some connections with index theory -- Localisation of triangulated categories.
520			_aTopological K-theory is one of the most important invariants for noncommutative algebras equipped with a suitable topology or bornology. Bott periodicity, homotopy invariance, and various long exact sequences distinguish it from algebraic K-theory. We describe a bivariant K-theory for bornological algebras, which provides a vast generalization of topological K-theory. In addition, we discuss other approaches to bivariant K-theories for operator algebras. As applications, we study K-theory of crossed products, the Baum-Connes assembly map, twisted K-theory with some of its applications, and some variants of the Atiyah-Singer Index Theorem.
590			_aPara consulta fuera de la UANL se requiere clave de acceso remoto.
700	1		_aMeyer, Ralf. _eautor _9341493
700	1		_aRosenberg, Jonathan M. _eautor _9350731
710	2		_aSpringerLink (Servicio en línea) _9299170
776	0	8	_iEdición impresa: _z9783764383985
856	4	0	_uhttp://remoto.dgb.uanl.mx/login?url=http://dx.doi.org/10.1007/978-3-7643-8399-2 _zConectar a Springer E-Books (Para consulta externa se requiere previa autentificación en Biblioteca Digital UANL)
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999			_c310141 _d310141