| Talk_id | Date | Speaker | Title |
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26859
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Monday 9/21
2:00 PM
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Roy Araiza, Purdue University
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Operator Spaces and Operator Systems: An Exposition
- Roy Araiza, Purdue University
- Operator Spaces and Operator Systems: An Exposition
- 09/21/2020
- 2:00 PM - 2:50 PM
- Online (virtual meeting)
During this lecture I will give an overview of the history and theory of operator spaces and operator systems. These "matrix normed spaces'' and "matrix ordered $*$-vector spaces'' arose in a somewhat natural fashion and the study of these objects is motivated by problems that arise when studying the "classical'' theory such as C*-algebras. After going over necessary background for both objects I will discuss how operator space and operator system theory were applied to approaching and solving problems in operator algebras.
Join via Zoom: https://msu.zoom.us/j/95716797501
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26865
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Monday 9/21
3:00 PM
|
Roy Araiza, Purdue University
|
An Abstract Characterization for Projections in Operator Systems
- Roy Araiza, Purdue University
- An Abstract Characterization for Projections in Operator Systems
- 09/21/2020
- 3:00 PM - 3:50 PM
- Online (virtual meeting)
Given an abstract operator system V it is not clear how one would go about defining the notion of a projection. During this talk I will present an answer and some recent results on this question. This is done by first considering abstract compression operator systems associated with a positive contraction in V and then determining when we have a realization of V in such an abstract compression operator system. It then follows that there is a one-to-one correspondence between abstract and concrete projections, and in particular, that every abstract projection is a concrete projection in the C*-envelope of V. I will then conclude with some applications to quantum information theory. In particular, the study of certain correlation sets. This is joint work with Travis Russell (West Point).
Join via Zoom: https://msu.zoom.us/j/95716797501
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26860
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Monday 9/28
2:00 PM
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Krishnendu Kahn, University of Iowa
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Fundamental groups of certain property (T) factors
- Krishnendu Kahn, University of Iowa
- Fundamental groups of certain property (T) factors
- 09/28/2020
- 2:00 PM - 2:50 PM
- Online (virtual meeting)
Calculation of fundamental groups of type $\rm II_1$ factor is, in general, an extremely hard and central problem in the field of von Neumann algebras. In this direction, a conjecture due to A. Connes states that the fundamental group of the group von Neumann algebra $L(\Gamma)$ associated to any icc property (T) group $\Gamma$ is trivial. Up to now, there was no single example of property (T) group factor satisfying the conjecture. In this talk, I shall provide the first examples of property (T) group factors with trivial fundamental group. This talk is based on a joint work with Ionut Chifan, Sayan Das and Cyril Houdayer.
Join via Zoom: https://msu.zoom.us/j/98441498789
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26868
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Monday 11/9
3:30 PM
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Ben Hayes, University of Virginia
|
TBA
- Ben Hayes, University of Virginia
- TBA
- 11/09/2020
- 3:30 PM - 4:20 PM
- Online (virtual meeting)
TBA
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