Approximately unitarily equivalent morphisms and inductive limitC*-algebras |
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| Authors: | Marius Dadarlat |
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| Affiliation: | (1) Department of Mathematics, Purdue University, 47907 West Lafayette, IN, USA |
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| Abstract: | It is shown that two unital *-homomorphisms from a commutativeC*-algebraC(X) to a unitalC*-algebraB are stably approximately unitarily equivalent if and only if they have the same class in the quotient of the Kasparov groupKK(C(X),B) by the closure of zero. A suitable generalization of this result is used to prove a classification result for certain inductive limitC*-algebrasThis research was partially supported by NSF grant DMS-9303361 |
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| Keywords: | *-homomorphisms unitary equivalence Kasparov groups C*-algebras real rank zero |
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