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Subjects
19-XX $K$ -theory
19Dxx Higher algebraic $K$ -theory
19D55 $K$ -theory and homology; cyclic homology and cohomology

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Fibrant presheaves of spectra and Guillén-Navarro extension

Llorenç Rubió I Pons (2009)

Rendiconti del Seminario Matematico della Università di Padova

Filtered topological cyclic homology and relative $K$ -theory of nilpotent ideals.

Brun, Morten (2001)

Algebraic & Geometric Topology

Fixed point theory and the K-theoretic trace

Ross Geoghegan, Andrew Nicas (1999)

Banach Center Publications

The relationship between fixed point theory and K-theory is explained, both classical Nielsen theory (versus $K_{0}$ ) and 1-parameter fixed point theory (versus $K_{1}$ ). In particular, various zeta functions associated with suspension flows are shown to come in a natural way as “traces” of “torsions” of Whitehead and Reidemeister type.

Formules explicites pour le caractère de Chern en $K$ -théorie algébrique

Grégory Ginot (2004)

Annales de l'Institut Fourier

Dans cet article on donne une formule explicite pour le caractère de Chern reliant la $K$ - théorie algébrique et l’homologie cyclique négative. On calcule le caractère de Chern des symboles de Steinberg et de Loday et on donne une preuve élémentaire du fait que le caractère de Chern est multiplicatif.

Currently displaying 1 – 4 of 4