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Analysis seminarExport this event to calendar

Friday, January 18, 2013 — 3:30 PM EST

Evgenios Kakariadis, Department of Pure Mathematics University of Waterloo

“Isomorphism Invariants for C*-dynamical systems”

Apart from the strong interest of the non-selfadjoint operator algebra community on dynamics, additional motivation for their examination comes from the recent number theoretic papers of Cornelissen and Marcolli and also from their work in graph theory. In these papers Cornelissen and Marcolli make essential use of the work of Davidson and Katsoulis on non-selfadjoint operator algebras associated with multivariable dynamics of commutative C*- algebras.
As it turns out, the key link with non-selfadjoint operator algebras is provided by the concept of piecewise conjugacy and the fact that piecewise conjugacy is an invariant for isomorphisms between certain operator algebras associated with C*-dynamical systems.
In general, the following two problems are open for arbitrary C*-dynamical systems: (i) Identify a complete invariant for isomorphisms between operator algebras associated with C*- dynamical systems. (ii) Develop a notion of piecewise conjugacy for multivariable systems that is an isomorphism invariant between the associated operator algebras.
In this talk we will discuss recent progress on these problems from:
[1] K.R. Davidson and E.T.A. Kakariadis, Conjugate Dynamical Systems on C*-algebras, Int. Math. Res. Not., to appear. [2] E.T.A. Kakariadis and E.G. Katsoulis, Isomorphism Invariants for Multivariable C*-Dynamics, preprint arXiv: 1210.6068.

Location 
MC - Mathematics & Computer Building
5136B
200 University Avenue West

Waterloo, ON N2L 3G1
Canada

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