An infinite loop space structure for K-theory of bimonoidal categories
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679677768-MIT.pdf
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Full printable version
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490.84 KB
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55133f7b74782820760b26a109fcce48
Author(s)
Osorno, Angélica María
Advisor(s)
Mark Behrens.
Date Issued
2010
Publisher
Massachusetts Institute of Technology
Abstract
In recent work of Baas-Dundas-Richter-Rognes, the authors introduce the notion of the K- theory of a bimonoidal category R, and show that it is equivalent to the algebraic K-theory space of the ring spectrum KR. In this thesis we show that K(R) is the group completion of the classifying space of the 2-category ModR of modules over R, and show that ModR is a symmetric monoidal 2-category. We explain how to use this symmetric monoidal structure to produce a [Gamma]-(2-category), which gives an infinite loop space structure on K(R). We show that the equivalence mentioned above is an equivalence of infinite loop spaces.
Description
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2010.
This electronic version was submitted by the student author. The certified thesis is available in the Institute Archives and Special Collections.
Cataloged from student-submitted PDF version of thesis.
Includes bibliographical references (p. 63-64).
Subjects
Mathematics.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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