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The ``fundamental theorem'' for the algebraic $ K$-theory of spaces. III. The nil-term

Author(s): John R. Klein; E. Bruce Williams
Journal: Proc. Amer. Math. Soc. 136 (2008), 3025-3033.
MSC (2000): Primary 19D10; Secondary 19D35
Posted: April 29, 2008
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Abstract: In this paper we identify the ``nil-terms'' for Waldhausen's algebraic $ K$-theory of spaces functor as the reduced $ K$-theory of a category of equivariant spaces equipped with a homotopically nilpotent endomorphism.

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Farrell, T.: Private Communication, 2006.

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Hüttemann, T., Klein, J.R., Vogell, W., Waldhausen, F., Williams, B.: The ``fundamental theorem'' for the algebraic $ K$-theory of spaces. I.
J. Pure Appl. Algebra 160, 21-52 (2001). MR 1829311 (2002a:19003)

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Hüttemann, T., Klein, J.R., Vogell, W., Waldhausen, F., Williams, B.: The ``fundamental theorem'' for the algebraic $ K$-theory of spaces. II.
J. Pure Appl. Algebra 167, 53-82 (2002). MR 1868117 (2002i:19003)

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Grayson, D.: Higher algebraic $ K$-theory II (after Daniel Quillen),
Algebraic $ K$-theory, Lecture Notes in Math., vol. 551, Springer, Berlin, 1976, pp. 217-240. MR 0574096 (58:28137)

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Grunewald, J., Klein, J.R., Macko, T.: Operations on the A-theoretic nil-terms,
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Additional Information:

John R. Klein
Affiliation: Department of Mathematics, Wayne State University, Detroit, Michigan 48202
Email: klein@math.wayne.edu

E. Bruce Williams
Affiliation: Department of Mathematics, University of Notre Dame, Notre Dame, Indiana 46556
Email: williams.4@nd.edu

DOI: 10.1090/S0002-9939-08-09293-9
PII: S 0002-9939(08)09293-9
Received by editor(s): May 7, 2007,
Received by editor(s) in revised form: July 3, 2007
Posted: April 29, 2008
Communicated by: Paul Goerss
Copyright of article: Copyright 2008, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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