Volume 4, issue 1 (2004)

Download this article
Download this article For screen
For printing
Recent Issues

Volume 24
Issue 6, 2971–3570
Issue 5, 2389–2970
Issue 4, 1809–2387
Issue 3, 1225–1808
Issue 2, 595–1223
Issue 1, 1–594

Volume 23, 9 issues

Volume 22, 8 issues

Volume 21, 7 issues

Volume 20, 7 issues

Volume 19, 7 issues

Volume 18, 7 issues

Volume 17, 6 issues

Volume 16, 6 issues

Volume 15, 6 issues

Volume 14, 6 issues

Volume 13, 6 issues

Volume 12, 4 issues

Volume 11, 5 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 4 issues

Volume 7, 4 issues

Volume 6, 5 issues

Volume 5, 4 issues

Volume 4, 2 issues

Volume 3, 2 issues

Volume 2, 2 issues

Volume 1, 2 issues

The Journal
About the Journal
Editorial Board
Subscriptions
 
Submission Guidelines
Submission Page
Policies for Authors
Ethics Statement
 
ISSN 1472-2739 (online)
ISSN 1472-2747 (print)
Author Index
To Appear
 
Other MSP Journals
Real versus complex K–theory using Kasparov's bivariant KK–theory

Thomas Schick

Algebraic & Geometric Topology 4 (2004) 333–346
Bibliography
1 M F Atiyah, $K$–theory and reality, Quart. J. Math. Oxford Ser. $(2)$ 17 (1966) 367 MR0206940
2 B Blackadar, $K$–theory for operator algebras, Mathematical Sciences Research Institute Publications 5, Cambridge University Press (1998) MR1656031
3 J L Boersema, Real $C^*$–algebras, united $KK$–theory, and the universal coefficient theorem, $K$–Theory 33 (2004) 107 MR2131747
4 J L Boersema, The range of united $K$–theory, J. Funct. Anal. 235 (2006) 701 MR2225467
5 J L Boersema, Real $C^*$–algebras, united $K$–theory, and the Künneth formula, $K$–Theory 26 (2002) 345 MR1935138
6 A K Bousfield, A classification of $K$–local spectra, J. Pure Appl. Algebra 66 (1990) 121 MR1075335
7 H Cartan, S Eilenberg, Homological algebra, Princeton University Press (1956) MR0077480
8 N Hitchin, Harmonic spinors, Advances in Math. 14 (1974) 1 MR0358873
9 M Karoubi, A descent theorem in topological $K$–theory, $K$–Theory 24 (2001) 109 MR1869624
10 G G Kasparov, The operator $K$–functor and extensions of $C^*$–algebras, Izv. Akad. Nauk SSSR Ser. Mat. 44 (1980) 571, 719 MR582160
11 G G Kasparov, Equivariant $KK$–theory and the Novikov conjecture, Invent. Math. 91 (1988) 147 MR918241
12 J McCleary, User's guide to spectral sequences, Mathematics Lecture Series 12, Publish or Perish (1985) MR820463
13 P Baum, M Karoubi, On the Baum–Connes conjecture in the real case, Q. J. Math. 55 (2004) 231 MR2082090
14 P Piazza, T Schick, Bordism, rho-invariants and the Baum–Connes conjecture, J. Noncommut. Geom. 1 (2007) 27 MR2294190
15 J Roe, Index theory, coarse geometry, and topology of manifolds, CBMS Regional Conference Series in Mathematics 90, Published for the Conference Board of the Mathematical Sciences, Washington, DC (1996) MR1399087
16 H Schröder, $K$–theory for real $C^*$–algebras and applications, Pitman Research Notes in Mathematics Series 290, Longman Scientific & Technical (1993) MR1267059