Friday, October 18 2024
11:30 - 12:30

* VenueMedia Centre
* SpeakerNamitha Changuli
* TitleSome results on Multiparameter decomposable product systems and CAR flows
AffiliationIMSc
AbstractThis talk deals with product systems over closed, convex cones in $\mathbb{R}^{d}$.
In this talk, we describe the structure of a decomposable product system over a closed convex cone in $\mathbb{R}^{d}$. We explicitly compute the cohomology groups involved in the description of a decomposable product system for a specific example.

We show that the CAR functor which maps an isometric representation of a cone to the corresponding CAR flow is injective. We also characterise type $I$ CAR flows associated to isometric representations with commuting range projections. Finally, we compute the gauge group and index of these type $I$ CAR flows.

This is pre-synopsis seminar.
* Announcement?None
* Refreshments?None
* Honorarium?None
Special Arrangements?None
* Host name and emailS Sundar @@ ssundar@imsc.res.in


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