nLab Wolfgang Lueck

• webpage

• webpage at Hausdorff Centre

Selected writings

On equivariant homotopy theory and equivariant algebraic K-theory:

• Wolfgang Lück, Transformation Groups and Algebraic K-Theory, Lecture Notes in Mathematics 1408 (Springer 1989) (doi:10.1007/BFb0083681)

On equivariant K-theory as a Spectra-valued presheaf on the orbit category (a naive G-spectrum):

• James Davis, Wolfgang Lück, Spaces over a Category and Assembly Maps in Isomorphism Conjectures in K- and L-Theory, K-Theory 15:201–252, 1998 (pdf)

On equivariant principal bundles and their classifying spaces:

• Wolfgang Lück, Survey on Classifying Spaces for Families of Subgroups, In: Infinite Groups: Geometric, Combinatorial and Dynamical Aspects Progress in Mathematics, 248 Birkhäuser (2005) (arXiv:math/0312378, doi:10.1007/3-7643-7447-0_7)

• Bernardo Uribe, Wolfgang Lück, Equivariant principal bundles and their classifying spaces, Algebr. Geom. Topol. 14 (2014) 1925-1995 (arXiv:1304.4862, doi:10.2140/agt.2014.14.1925)

On proper equivariant homotopy theory:

• Dieter Degrijse, Markus Hausmann, Wolfgang Lück, Irakli Patchkoria, Stefan Schwede, Proper equivariant stable homotopy theory (arXiv:1908.00779)

On the equivariant Chern character in equivariant K-theory:

• Wolfgang Lück, Bob Oliver, Chern characters for the equivariant K-theory of proper G-CW-complexes, In: Aguadé J., Broto C., Casacuberta C. (eds.) Cohomological Methods in Homotopy Theory Progress in Mathematics, vol 196. Birkhäuser 2001 (doi:10.1007/978-3-0348-8312-2_15)

On the equivariant Chern-Dold character in generalized equivariant cohomology:

• Wolfgang Lück, Chern characters for proper equivariant homology theories and applications to K- and L-theory, Journal für die reine und angewandte Mathematik, Volume 2002: Issue 543 (doi:10.1515/crll.2002.015, pdf)

• Wolfgang Lück, Equivariant Cohomological Chern Characters, International Journal of Algebra and Computation, Vol. 15, No. 05n06, pp. 1025-1052 (2005) (arXiv:math/0401047, doi:10.1142/S0218196705002773)

• Wolfgang Lück, Equivariant Chern characters, 2006 (pdf, pdf)

On equivariant stable cohomotopy and the Burnside ring:

• Wolfgang Lück, The Burnside Ring and Equivariant Stable Cohomotopy for Infinite Groups, Pure Appl. Math. Q. 1 (2005), no. 3, Special Issue: In memory of Armand Borel. Part 2, 479–541 (arXiv:math/0504051)

Related $n$Lab entries

• global equivariant stable homotopy theory

• equivariant stable cohomotopy

• Atiyah-Hirzebruch spectral sequence

• smash product

category: people