##### Department of Mathematics,

University of California San Diego

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### Math 243 - Functional Analysis Seminar

## Roy Araiza

#### University of Illinois Urbana-Champaign

## Matricial Archimedean Order Unit Spaces and Quantum Correlations

##### Abstract:

During this talk I will introduce the notion of a k-AOU space, which we may think of as a matricial Archimedean order unit space. I will then describe the relationship between the category of k-AOU spaces and k-positive maps, and the category of operator systems and completely positive maps. After demonstrating the existence of injective envelopes and C*-envelopes in the category of k-AOU spaces, I will describe a connection with quantum correlations. Combined with previous work, this yields a reformulation of Tsirelson's conjecture.

Host: David Jekel

### February 15, 2022

### 10:00 AM

Please email djekel@ucsd.edu for Zoom details.

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