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Algebraic K Theory and Localised Stable Homotopy Theory Book PDF Summary

There is a homomorphism from the stable homotopy of the classifying space of the group of units in a ring to its algebraic [italic]K-theory. When the ring has enough roots of unity a "Bott element" exists in these groups (taken with coefficients). We compute the groups obtained by inverting the Bott element. This computation is used in conjunction with homomorphism to construct algebraic [italic]K-theory classes and to give upper bounds on [italic]K-theory with the Bott element inverted.

Detail Book of Algebraic K Theory and Localised Stable Homotopy Theory PDF

Algebraic  K  Theory and Localised Stable Homotopy Theory
  • Author : Victor Percy Snaith
  • Release : 01 October 1983
  • Publisher : American Mathematical Soc.
  • ISBN : 9780821822807
  • Genre : Mathematics
  • Total Page : 117 pages
  • Language : English
  • PDF File Size : 12,9 Mb

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