Characters and \(K\)-theory of discrete groups

DOI10.1007/BF01232678zbMath0804.55002arXivmath/9301211OpenAlexW2009738484MaRDI QIDQ1319202

Adem, Alejandro

Publication date: 12 April 1994

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9301211

zbMATH Keywords

\(p\)-adic numbers\(K\)-theory with coefficients in the \(p\)-adic integerscompletion of the complex representation ringcomplex \(K\)-theory of the classifying spacegroups of finite virtual cohomological dimension acting with finite isotropy on a contractible complex

Mathematics Subject Classification ID

Homology of classifying spaces and characteristic classes in algebraic topology (55R40) Topological (K)-theory (55N15)

Related Items (4)

Topological \(K\)-(co)homology of classifying spaces of discrete groups ⋮ Rational computations of the topological K-theory of classifying spaces of discrete groups ⋮ Yang-Mills theory over surfaces and the Atiyah-Segal theorem ⋮ On the ring structure of \(K^*\) for discrete groups

Cites Work

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• The mod p K-theory of classifying spaces of finite groups
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• The cyclic homology of the group rings
• Complete Euler characteristics and fixed-point theory
• On the \(K\)-theory of the classifying space of a discrete group
• Complex \(K\)-theory of \(B\text{SL}_ 3({\mathbb{Z}{}})\)
• The cohomology of \(SL_3(Z)\)
• Homotopy properties of the poset of nontrivial p-subgroups of a group
• Corners and arithmetic groups (Appendice: Arrondissement des varietes a coins par A. Douady et L. Herault)
• Equivariant \(K\)-theory and completion
• Representations and 𝐾-theory of discrete groups
• Generalized group characters and complex oriented cohomology theories

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