Department of Mathematics
Title : Connes' Embedding Conjecture and Noncommutative Polynomials
| Speaker: Igor Klep Affiliation: University of Ljubljana Time: 2:00 pm Tuesday, 14 June, 2011 Location: CS 279 |
Abstract
| The embedding conjecture was formulated by A. Connes in the seventies. It is one of the most important open problems in operator algebras, and asks whether any finite von Neumann algebra can be embedded into the ultrapower of the hyperfinite II_1-factor. In this talk we shall explain how this characterisation question can be rephrased as a problem on trace-positive noncommutative polynomials. Namely, Connes' conjecture holds if and only if every trace-positive polynomial admits a sum of squares representation with weights. This will give us the opportunity to discuss recent progress on positivity of noncommutative polynomials. Igor Kelp is an applicant for the Analysis position in the Department; and interested Academic Staff are encouraged to attend. |
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Programmes and Centres
- New Zealand Institute of Mathematics and its Applications (NZIMA)
- Community for Understanding and Learning in the Mathematical Sciences (CULMS)
- Centre for Mathematical Social Science (CMSS)
- Department of Computer Science
- Department of Engineering Science
- Department of Physics
- Department of Statistics
- Auckland Bioengineering Institute
