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Titlebook: Algebraic K-Theory and Its Applications; Jonathan Rosenberg Textbook 1994 Springer-Verlag New York, Inc. 1994 Algebraic K-theory.Homologic

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期刊全稱Algebraic K-Theory and Its Applications
影響因子2023Jonathan Rosenberg
視頻videohttp://file.papertrans.cn/153/152651/152651.mp4
學(xué)科分類Graduate Texts in Mathematics
圖書(shū)封面Titlebook: Algebraic K-Theory and Its Applications;  Jonathan Rosenberg Textbook 1994 Springer-Verlag New York, Inc. 1994 Algebraic K-theory.Homologic
影響因子Algebraic K-Theory plays an important role in many areas of modern mathematics: most notably algebraic topology, number theory, and algebraic geometry, but even including operator theory. The broad range of these topics has tended to give the subject an aura of inapproachability. This book, based on a course at the University of Maryland in the fall of 1990, is intended to enable graduate students or mathematicians working in other areas not only to learn the basics of algebraic K-Theory, but also to get a feel for its many applications. The required prerequisites are only the standard one-year graduate algebra course and the standard introductory graduate course on algebraic and geometric topology. Many topics from algebraic topology, homological algebra, and algebraic number theory are developed as needed. The final chapter gives a concise introduction to cyclic homology and its interrelationship with K-Theory.
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https://doi.org/10.1007/978-3-031-32879-4ill seem a comforting retreat to more familiar territory. However, we will need to refer to the homology of a group, at least in order to speak of .. Since group homology will be needed in a more serious way in the next chapter anyway, we provide a brief introduction to the subject later in this sec
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https://doi.org/10.1007/978-3-031-32879-4iewed as the “l(fā)inearization” of .-theory, in the same sense in which the matrix ring .(.) is the “l(fā)inearization” of the general linear group .(.). For motivation, it is useful to think of the case where the ring . is ? or ?. Then .(., .)is a Lie group, and the space .(., .). giving rise to the highe
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