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$K$– and $L$–theory of the semi-direct product of the discrete 3–dimensional Heisenberg group by $\mathbb{Z}/4$

Wolfgang Lueck

Geometry & Topology 9 (2005) 1639–1676
Bibliography
1 A Bak, The computation of surgery groups of finite groups with abelian 2–hyperelementary subgroups, from: "Algebraic $K$–theory (Proc. Conf., Northwestern Univ., Evanston, Ill., 1976)", Springer (1976) MR0470029
2 M Banagl, A Ranicki, Generalized Arf invariants in algebraic $L$–theory, Adv. Math. 199 (2006) 542 MR2189218
3 A Bartels, W Lück, Isomorphism conjecture for homotopy $K$–theory and groups acting on trees, J. Pure Appl. Algebra 205 (2006) 660 MR2210223
4 A C Bartels, On the domain of the assembly map in algebraic $K$–theory, Algebr. Geom. Topol. 3 (2003) 1037 MR2012963
5 H Bass, Algebraic $K$–theory, W. A. Benjamin, New York-Amsterdam (1968) MR0249491
6 P Baum, A Connes, N Higson, Classifying space for proper actions and $K$–theory of group $C^*$–algebras, from: "$C^*$–algebras: 1943–1993 (San Antonio, TX, 1993)", Contemp. Math. 167, Amer. Math. Soc. (1994) 240 MR1292018
7 J Brookman, J F Davis, Q Khan, Manifolds homotopy equivalent to $P^n\#P^n$, Math. Ann. 338 (2007) 947 MR2317756
8 S E Cappell, Unitary nilpotent groups and Hermitian $K$–theory I, Bull. Amer. Math. Soc. 80 (1974) 1117 MR0358815
9 F X Connolly, J F Davis, The surgery obstruction groups of the infinite dihedral group, Geom. Topol. 8 (2004) 1043 MR2087078
10 F Connolly, A Ranicki, On the calculation of UNil, Adv. Math. 195 (2005) 205 MR2145796
11 J F Davis, W Lück, Spaces over a category and assembly maps in isomorphism conjectures in $K$– and $L$–theory, $K$–Theory 15 (1998) 201 MR1659969
12 J F Davis, W Lück, The $p$–chain spectral sequence, $K$–Theory 30 (2003) 71 MR2061848
13 S Echterhoff, W Lück, C Phillips, in preparation (2005)
14 F T Farrell, L E Jones, Isomorphism conjectures in algebraic $K$–theory, J. Amer. Math. Soc. 6 (1993) 249 MR1179537
15 F T Farrell, L E Jones, The lower algebraic $K$–theory of virtually infinite cyclic groups, $K$–Theory 9 (1995) 13 MR1340838
16 T Farrell, L Jones, W Lück, A caveat on the isomorphism conjecture in $L$–theory, Forum Math. 14 (2002) 413 MR1899292
17 I Hambleton, E K Pedersen, Identifying assembly maps in $K$– and $L$–theory, Math. Ann. 328 (2004) 27 MR2030369
18 N Higson, G Kasparov, $E$–theory and $KK$–theory for groups which act properly and isometrically on Hilbert space, Invent. Math. 144 (2001) 23 MR1821144
19 P H Kropholler, G Mislin, Groups acting on finite-dimensional spaces with finite stabilizers, Comment. Math. Helv. 73 (1998) 122 MR1610595
20 W Lück, Survey on classifying spaces for families of subgroups (2004) arXiv:math.GT/0312378
21 W Lück, The type of the classifying space for a family of subgroups, J. Pure Appl. Algebra 149 (2000) 177 MR1757730
22 W Lück, The relation between the Baum–Connes conjecture and the trace conjecture, Invent. Math. 149 (2002) 123 MR1914619
23 W Lück, H Reich, The Baum–Connes and the Farrell–Jones conjectures in $K$– and $L$–theory, from: "Handbook of $K$–theory Vol. 1, 2", Springer (2005) 703 MR2181833
24 W Lück, R Stamm, Computations of $K$– and $L$–theory of cocompact planar groups, $K$–Theory 21 (2000) 249 MR1803230
25 R C Lyndon, P E Schupp, Combinatorial group theory, Ergebnisse der Mathematik und ihrer Grenzgebiete 89, Springer (1977) MR0577064
26 G Mislin, Equivariant $K$–homology of the classifying space for proper actions, from: "Proper group actions and the Baum–Connes conjecture", Adv. Courses Math. CRM Barcelona, Birkhäuser (2003) 1 MR2027169
27 A A Ranicki, Algebraic $L$–theory II: Laurent extensions, Proc. London Math. Soc. $(3)$ 27 (1973) 126 MR0414662
28 A A Ranicki, Algebraic $L$–theory III: Twisted Laurent extensions, from: "Algebraic K-theory, III: Hermitian K-theory and geometric application (Proc. Conf. Seattle Res. Center, Battelle Memorial Inst., 1972)", Springer (1973) MR0414663
29 A Ranicki, On the Novikov conjecture, from: "Novikov conjectures, index theorems and rigidity, Vol. 1 (Oberwolfach, 1993)", London Math. Soc. Lecture Note Ser. 226, Cambridge Univ. Press (1995) 272 MR1388304
30 P Scott, The geometries of 3–manifolds, Bull. London Math. Soc. 15 (1983) 401 MR705527
31 J P Serre, Trees, Springer (1980) MR607504
32 T tom Dieck, Transformation groups, de Gruyter Studies in Mathematics 8, Walter de Gruyter & Co. (1987) MR889050
33 A Valette, Introduction to the Baum–Connes conjecture, Lectures in Mathematics ETH Zürich, Birkhäuser Verlag (2002) MR1907596
34 F Waldhausen, Algebraic $K$–theory of topological spaces I, from: "Algebraic and geometric topology (Proc. Sympos. Pure Math., Stanford Univ., Stanford, Calif., 1976), Part 1", Proc. Sympos. Pure Math., XXXII, Amer. Math. Soc. (1978) 35 MR520492