000 | 03136nam a22005415i 4500 | ||
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001 | 978-3-540-49579-6 | ||
003 | DE-He213 | ||
005 | 20190213151118.0 | ||
007 | cr nn 008mamaa | ||
008 | 121227s1996 gw | s |||| 0|eng d | ||
020 |
_a9783540495796 _9978-3-540-49579-6 |
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024 | 7 |
_a10.1007/BFb0094458 _2doi |
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050 | 4 | _aQA169 | |
072 | 7 |
_aPBC _2bicssc |
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_aMAT002010 _2bisacsh |
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_aPBC _2thema |
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072 | 7 |
_aPBF _2thema |
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082 | 0 | 4 |
_a512.6 _223 |
100 | 1 |
_aPuschnigg, Michael. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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245 | 1 | 0 |
_aAsymptotic Cyclic Cohomology _h[electronic resource] / _cby Michael Puschnigg. |
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg : _bImprint: Springer, _c1996. |
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300 |
_aXXIV, 244 p. _bonline resource. |
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336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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338 |
_aonline resource _bcr _2rdacarrier |
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347 |
_atext file _bPDF _2rda |
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490 | 1 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1642 |
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505 | 0 | _aThe asymptotic homotopy category -- Algebraic de Rham complexes -- Cyclic cohomology -- Homotopy properties of X-complexes -- The analytic X-complex -- The asymptotic X-complex -- Asymptotic cyclic cohomology of dense subalgebras -- Products -- Exact sequences -- KK-theory and asymptotic cohomology -- Examples. | |
520 | _aThe aim of cyclic cohomology theories is the approximation of K-theory by cohomology theories defined by natural chain complexes. The basic example is the approximation of topological K-theory by de Rham cohomology via the classical Chern character. A cyclic cohomology theory for operator algebras is developed in the book, based on Connes' work on noncommutative geometry. Asymptotic cyclic cohomology faithfully reflects the basic properties and features of operator K-theory. It thus becomes a natural target for a Chern character. The central result of the book is a general Grothendieck-Riemann-Roch theorem in noncommutative geometry with values in asymptotic cyclic homology. Besides this, the book contains numerous examples and calculations of asymptotic cyclic cohomology groups. | ||
650 | 0 | _aAlgebra. | |
650 | 0 | _aAlgebraic topology. | |
650 | 0 | _aK-theory. | |
650 | 0 | _aOperator theory. | |
650 | 1 | 4 |
_aCategory Theory, Homological Algebra. _0http://scigraph.springernature.com/things/product-market-codes/M11035 |
650 | 2 | 4 |
_aAlgebraic Topology. _0http://scigraph.springernature.com/things/product-market-codes/M28019 |
650 | 2 | 4 |
_aK-Theory. _0http://scigraph.springernature.com/things/product-market-codes/M11086 |
650 | 2 | 4 |
_aOperator Theory. _0http://scigraph.springernature.com/things/product-market-codes/M12139 |
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783662177822 |
776 | 0 | 8 |
_iPrinted edition: _z9783540619864 |
830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1642 |
|
856 | 4 | 0 | _uhttps://doi.org/10.1007/BFb0094458 |
912 | _aZDB-2-SMA | ||
912 | _aZDB-2-LNM | ||
912 | _aZDB-2-BAE | ||
999 |
_c9554 _d9554 |