Topics in Cyclic Theory (London Mathematical Society Student Texts, Band 97)
Noncommutative geometry combines themes from algebra, analysis and geometry and has significant applications to physics. This book focuses on cyclic theory, and is based upon the lecture courses by Daniel G. Quillen at the University of Oxford from 1988–92, which developed his own approach to the subject. The basic definitions, examples and exercises provided here allow non-specialists and students with a background in elementary functional analysis, commutative algebra and differential geometry to get to grips with the subject. Quillen's development of cyclic theory emphasizes analogies between commutative and noncommutative theories, in which he reinterpreted classical results of Hamiltonian mechanics, operator algebras and differential graded algebras into a new formalism. In this book, cyclic theory is developed from motivating examples and background towards general results. Themes covered are relevant to current research, including homomorphisms modulo powers of ideals, traces on noncommutative differential forms, quasi-free algebras and Chern characters on connections.
yazar | Daniel G. Quillen |
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Boyutlar ve boyutlar | 14.61 x 1.91 x 22.23 cm |
Tarafından yayınlandı | 9 Temmuz 2020 |
Kolektif 18,9 x 0,3 x 24,6 cm Mdpi AG 18,9 x 0,5 x 24,6 cm WADE H MCCREE ROBERT H BORK 30 Ekim 2011 1 Ocak 2017 18,9 x 0,4 x 24,6 cm 3 Ocak 2017 15 x 0,5 x 22 cm 18,9 x 0,6 x 24,6 cm 28 Şubat 2018 Additional Contributors ERWIN N GRISWOLD 28 Ekim 2011 18,9 x 0,2 x 24,6 cm 29 Ekim 2011
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Sürüm ayrıntıları
yazar | Daniel G. Quillen Gordon Blower |
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isbn 13 | 978-1108790444 |
Yayımcı | Cambridge University Press |
Boyutlar ve boyutlar | 14.61 x 1.91 x 22.23 cm |
Tarafından yayınlandı Topics in Cyclic Theory (London Mathematical Society Student Texts, Band 97) | 9 Temmuz 2020 |
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