Read e-book online Algebraic K-theory of Crystallographic Groups: The PDF

By Daniel Scott Farley,Ivonne Johanna Ortiz

ISBN-10: 3319081527

ISBN-13: 9783319081526

The Farrell-Jones isomorphism conjecture in algebraic K-theory deals an outline of the algebraic K-theory of a bunch utilizing a generalized homology idea. In situations the place the conjecture is understood to be a theorem, it supplies a robust procedure for computing the decrease algebraic K-theory of a bunch. This publication encompasses a computation of the decrease algebraic K-theory of the break up 3-dimensional crystallographic teams, a geometrically vital category of 3-dimensional crystallographic crew, representing a 3rd of the full quantity. The ebook leads the reader via all features of the calculation. the 1st chapters describe the break up crystallographic teams and their classifying areas. Later chapters gather the recommendations which are had to follow the isomorphism theorem. the result's an invaluable place to begin for researchers who're drawn to the computational part of the Farrell-Jones isomorphism conjecture, and a contribution to the turning out to be literature within the field.

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Algebraic K-theory of Crystallographic Groups: The Three-Dimensional Splitting Case (Lecture Notes in Mathematics) by Daniel Scott Farley,Ivonne Johanna Ortiz


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