On conjugacies of $C^*$-dynamical systems
Wei Sun
8:30 am to 9:20 am, June 3rd, 2015 Science Building A1414
Abstract:
Crossed product $C^*$-algebras contains information on both the
original base $C^*$-algebras and the group actions. We focus on such problems
as how we can derive certain conjugacies of two actions from the information
of the two crossed product $C^*$-algebras.
We will start with reviewing some classical cases and results, and we will show some theoretical limits of those results. In particular, we will demonstrate examples of non-conjugacies in case the two crossed products are isomorphic. Based on that, we will show how the strengthened isomorphisms (approximate $K$-conjugacies as for those examples) can ensure the existence of such conjugacies for the above mentioned examples.
We will start with reviewing some classical cases and results, and we will show some theoretical limits of those results. In particular, we will demonstrate examples of non-conjugacies in case the two crossed products are isomorphic. Based on that, we will show how the strengthened isomorphisms (approximate $K$-conjugacies as for those examples) can ensure the existence of such conjugacies for the above mentioned examples.
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