Quasidiagonality and KK-theory of continuous fields of C*-algebras
Abstract
In the first part of this thesis we consider the question of when continuous fields of C*-algebras are quasidiagonal and give a sufficient condition for the quasidiagonality of the C*-algebras associated to such fields. We give a few applications of this result to the case of crossed products C*-algebras and group C*-algebras. In the second part of this thesis, we give a characterization of the zero elements in the parametrized KK-groups KKX(A,B), where A and B are C(X)-algebras and X is a compact metrizable space. This sheds light on what it means for two C(X)-linear *-homomorphisms from A to B to give rise to the same KK X-element and is an extension of a previously known characterization found by S. Eilers and M. Dadarlat.
Degree
Ph.D.
Advisors
Dadarlat, Purdue University.
Subject Area
Mathematics|Theoretical Mathematics
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