Counterexamples to the Künneth theorem in $K$-theory

Details Counterexamples to the Künneth theorem in $K$-theory Counterexamples to the Künneth theorem in $K$-theory

2011-11-30

arxiv.org/abs/1111.7228v1

Mathematics

K-Theory and Homology

11 pages

Scientific paper

In this note, we give counterexamples to the K\"{u}nneth theorems for the
minimal and the maximal tensor products, thus answering some of the questions
raised by Blackadar in \cite[23.13.2]{MR1656031}. Our main tools are the
mapping cone construction and the Puppe exact sequence.

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