K-Continuity Is Equivalent To K-Exactness
DOI:
https://doi.org/10.7146/math.scand.a-23299Abstract
Let A be a C∗-algebra. It is well known that the functor B↦A⊗B of taking the minimal tensor product with A preserves inductive limits if and only if it is exact. C∗-algebras with this property play an important role in the structure and finite-dimensional approximation theory of C∗-algebras.
We consider a K-theoretic analogue of this result and show that the functor B↦K0(A⊗B) preserves inductive limits if and only if it is half-exact.
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Published
2016-03-07
How to Cite
Uuye, O. (2016). K-Continuity Is Equivalent To K-Exactness. MATHEMATICA SCANDINAVICA, 118(1), 95–105. https://doi.org/10.7146/math.scand.a-23299
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