Overview
- Covers the connection between algebraic K-theory and Bökstedt, Hsiang and Madsen's topological cyclic homology, and gives a proof of the fact that the difference between the theories are 'locally constant'
- Provides an inroad to the necessary background in algebraic K-theory and highly structured homotopy theory; collecting all necessary tools into one common framework
- Contains the proof of the integral Goodwillie ICM 1990 conjecture and explains the mathematical prerequisites needed to do this
- Includes supplementary material: sn.pub/extras
- Includes supplementary material: sn.pub/extras
Part of the book series: Algebra and Applications (AA, volume 18)
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Table of contents (7 chapters)
About this book
Reviews
From the reviews:
“The comparison of K-theory with topological cyclic homology is by means of a natural transformation called the cyclotomic trace which is the principal subject of this book. … Many references invite to further reading. The book can be highly recommended to anybody interested in the modern understanding of algebraic K-theory and its approximations by functors which are more accessible to calculations.” (Rainer Vogt, zbMATH, Vol. 1272, 2013)Authors and Affiliations
Bibliographic Information
Book Title: The Local Structure of Algebraic K-Theory
Authors: Bjørn Ian Dundas, Thomas G. Goodwillie, Randy McCarthy
Series Title: Algebra and Applications
DOI: https://doi.org/10.1007/978-1-4471-4393-2
Publisher: Springer London
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag London 2012
Hardcover ISBN: 978-1-4471-4392-5Published: 06 September 2012
Softcover ISBN: 978-1-4471-5904-9Published: 15 October 2014
eBook ISBN: 978-1-4471-4393-2Published: 06 September 2012
Series ISSN: 1572-5553
Series E-ISSN: 2192-2950
Edition Number: 1
Number of Pages: XVI, 436
Topics: K-Theory, Algebraic Topology, Category Theory, Homological Algebra