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31.
Huaxin Lin 《Proceedings of the American Mathematical Society》2004,132(11):3215-3224
Let be a non-unital and -unital simple -algebra. We show that if is simple, then is purely infinite. We also show that is simple if and only if has a continuous scale provided that is not isomorphic to the compact operators.
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Huaxin Lin 《K-Theory》1999,16(2):105-127
Let A be a unital nuclear separable C*-algebra which satisfies the Universal Coefficient Theorem and E be a unital essential extension of the form:
where
is the C*-algebra of compact operators on l2. Suppose that Aut(E) is an automorphism on E. We show that if , the automorphism on A induced by , is in Aut0(A), the identity component of Aut(A), then is approximately inner if and only if an index ()=0. Consequently, in certain interesting cases, Aut0(E) if and only if [idE] in KK(E,E) and is approximately inner if and only if [idE] in KL(E,E). In particular, when K1(A) is torsion free, is approximately inner if and only if induces the identity map on K0(E). 相似文献
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Huaxin Lin 《Transactions of the American Mathematical Society》2005,357(8):3375-3405
An approximate Universal Coefficient Theorem (AUCT) for certain -algebras is established. We present a proof that Kirchberg-Phillips's classification theorem for separable nuclear purely infinite simple -algebras is valid for -algebras satisfying the AUCT instead of the UCT. It is proved that two versions of AUCT are in fact the same. We also show that -algebras that are locally approximated by -algebras satisfying the AUCT satisfy the AUCT. As an application, we prove that certain simple -algebras which are locally type I are in fact isomorphic to simple AH-algebras. As another application, we show that a sequence of residually finite-dimensional -algebras which are asymptotically nuclear and which asymptotically satisfies the AUCT can be embedded into the same simple AF-algebra.
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Two tri-n-butylphosphme-participated ( PBu3n) nickel (Ⅱ) complexes of 2-mercaptophenol(H2mp),i.e,Ni2Ru(mp)3(Hmp)(PBu3n)3 3 exhibiting a curved heterotrinuclear metal skeleton and its mononuclear "synthon",[HNEt3] [Ni(mp) (Hmp) (PBu3n)] 1 were synthesized and characterized by X-crystallography and 1H NMR,FAB-MS and cyclic valtammogram measurements.The nickel(Ⅱ) center in 1 has a square-planar geometry For 3,the ruthenium(Ⅲ) atom is in a distorted octahedral environment and the two mckel(Ⅱ) atoms exhibit square-planar and rare triangle-planar geometries,respectively.The Ni (1)-Ru-Ni(2 ) arrangement is severely asymmetric with the distances 0.254 and 0.394 nm,respectively,for Ni(1)-Ru and Ni(2)-Ru.The structural regularities of relevant complexes are summarized in relation to the structural as well as spectra data. 相似文献
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Huaxin Lin 《Proceedings of the American Mathematical Society》1997,125(9):2671-2676
We show that a separable -algebra of type I has real rank zero if and only if where is a modified dimension. We also show that a separable -algebra of type I has real rank zero if and only if it is an AF-algebra.