K-Continuity Is Equivalent To K-Exactness

Authors

  • Otgonbayar Uuye

DOI:

https://doi.org/10.7146/math.scand.a-23299

Abstract

Let A be a C-algebra. It is well known that the functor BAB 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 BK0(AB) 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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