Algebraic & Geometric Topology Volume 7, issue 2 (2007)

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the Journal

Editorial Board

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN 1472-2739 (online)

ISSN 1472-2747 (print)

Other MSP Journals

Connective $\mathrm{Im}(J)$–theory for cyclic groups

Karlheinz Knapp

Algebraic & Geometric Topology 7 (2007) 797–828

DOI: 10.2140/agt.2007.7.797

Bibliography

1	J F Adams, Lectures on generalised cohomology, from: "Category Theory, Homology Theory and their Applications, III (Battelle Institute Conference, Seattle, Wash., 1968, Vol. Three)", Springer (1969) 1 MR0251716
2	J F Adams, Stable homotopy and generalised homology, University of Chicago Press (1974) MR0402720
3	A K Bousfield, The localization of spectra with respect to homology, Topology 18 (1979) 257 MR551009
4	A K Bousfield, On the homotopy theory of $K$–local spectra at an odd prime, Amer. J. Math. 107 (1985) 895 MR796907
5	M C Crabb, K Knapp, Applications of nonconnective $\mathrm{Im}(J)$–theory, from: "Handbook of algebraic topology", North-Holland (1995) 463 MR1361897
6	D Eisenbud, Commutative algebra, Graduate Texts in Mathematics 150, Springer (1995) MR1322960
7	S Hashimoto, A note on some periodicity of $\mathrm{Ad}$–cohomology groups of lens spaces, Osaka J. Math. 23 (1986) 307 MR856889
8	A Jankowski, Splitting of $K$–theory and $g_{}$ characteristic numbers*, from: "Studies in algebraic topology", Adv. in Math. Suppl. Stud. 5, Academic Press (1979) 189 MR527250
9	S Jäschke, Stabil sphärische Elemente in der Bild-$J$–Homologie des klassifizierenden Raumes der zyklischen Gruppe mit $p$ Elementen, PhD thesis, Wuppertal (1992)
10	K Knapp, Connective $Im(J)$–theory for torsion-free spaces, the complex projective space as an example, preprint
11	K Knapp, On the $K$–homology of classifying spaces, Math. Ann. 233 (1978) 103 MR0470961
12	K Knapp, Stably spherical classes in the $K$–homology of a finite group, Comment. Math. Helv. 63 (1988) 414 MR960768
13	K Knapp, Introduction to nonconnective $\mathrm{Im}(J)$–theory, from: "Handbook of algebraic topology", North-Holland (1995) 425 MR1361896
14	K Knapp, Anderson duality in $K$–theory and $\mathrm{Im}(J)$–theory, $K$–Theory 18 (1999) 137 MR1711716
15	T Kobayashi, S Murakami, M Sugawara, Note on $J$–groups of lens spaces, Hiroshima Math. J. 7 (1977) 387 MR0431165
16	P Leiverkus, Diplomarbeit, Wuppertal
17	R Weth, Zur $A$–Theorie von $B\mathbb{Z}/p^{2}$, Diplomarbeit, Wuppertal (1992)