C^*-simplicity seminar Ical Atom

This is a learning seminar. The goal is to understand the results on C-simplicity of groups by Kennedy-Kalantar and other works. We will start by reviewing some theory of C-algebras. Then, we will learn operator systems and the important Arveson extension and Stinespring dilation theorems. The we will study injective envelopes in the category of operators systems. Lastly, we will try to understand the connection to Furstenberg boundary and C*-simplicity

The seminar meets on Tuesdays, 10:30-12:00, in -101
Attend Online

This Week

Nadav Kalma

The Furstenberg boundary

2024–25–B meetings

Upcoming Meetings

Date
Title
Speaker
Abstract
May 20 The Furstenberg boundaryOnline Nadav Kalma

Past Meetings

Date
Title
Speaker
Abstract
Mar 18 Background on C*-algebras Eli Shamovich

We will review the basics of C*-algebras, functional calculus, representations, and the GNS construction.
Mar 25 Introduction to Operator Systems Gal Ben-Ayun

We will introduce operator spaces and systems, completely bounded and completely positive maps, and give some examples.
Apr 1 Operator systems - Stinespring Dilation Theorem Daniel Markiewicz
Apr 22 Operator systems - Arveson’s extension theorem Daniel Markiewicz
May 13 Injective envelopes of operator systems Gal Ben Ayin

Seminar run by Prof. Yair Glasner and Dr. Eli Shamovich