When almost multiplicative morphisms are close to homomorphisms
When almost multiplicative morphisms are close to homomorphisms
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DOI：
10.1090/s0002-9947-99-02310-7
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发表时间：
1999-08
影响因子：
1.3
通讯作者：
Huaxin Lin
中科院分区：
文献类型：
--
作者：
Huaxin Lin
ABsrRACT. It is shown that approximately multiplicative contractive positive morphisms from C(X) (with dim X < 2) into a simple C*-algebra A of real rank zero and of stable rank one are close to homomorphisms, provided that certain K-theoretical obstacles vanish. As a corollary we show that a homomorphism h: C(X) -+ A is approximated by homomorphisms with finite dimensional range, if h gives no K-theoretical obstacle.
