title_temp

A certain kind of representations of crossed products and Heisenberg group actions

Sihan Wei 韦斯翰 (ECNU)

10:00-11:00, March 12, 2019 Science Building A510

Abstract:

In this talk, we recall a certain form of irreducible representations, defined by Tomiyama, of crossed products arising from a group action of

G <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>G</mi></math>

on a compact metrizable space

X <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>X</mi></math>

and see how it may be related to the orbits under the

G <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>G</mi></math>

-action. Additionally, we take a glimpse to the property of the

C * <math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>C</mi><mo>*</mo></msup></math>

-algebra associated with the noncommutative dynamical system

(X, G, α) <math xmlns="http://www.w3.org/1998/Math/MathML"><mo stretchy="false">(</mo><mi>X</mi><mo>,</mo><mi>G</mi><mo>,</mo><mi>α</mi><mo stretchy="false">)</mo></math>

where

G <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>G</mi></math>

is the 3-dimensional discrete Heisenberg group and

X <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>X</mi></math>

is the Cantor space with

α <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>α</mi></math>

being a minimal action.

About the speaker:

Attachments:

性爱视频