UNAM Mexico

Tue, 02 Jul 2024

15:30 - 16:30

North Lecture Theatre, St John’s College Oxford

Tracial Classification of C*-algebras

Jorge Castillejos Lopez

(UNAM Mexico)

Abstract

The classification of simple, unital, nuclear UCT C*-algebras with finite nuclear dimension can be achieved using an invariant derived from K-theory and tracial information. In this talk, I will present a classification theorem for certain classes of C*-algebras that rely solely on tracial deformations.  

Wed, 26 Nov 2014
16:00

C2

Set functions.

Leobardo Fernández Román

(UNAM Mexico)

Abstract

A continuum is a non-empty

compact connected metric space.

Given a continuum X let P(X) be the

power set of X. We define the following

set functions:

 

T:P(X) to P(X) given by, for each A in P(X),

T(A) = X \ { x in X : there is a continuum W

such that x is in Int(W) and W does not

intersect A}.

 

K:P(X) to P(X) given by, for each A in P(X)

K(A) = Intersection{ W : W is a subcontinuum

of X and A is in the interior of W}.

 

Also, it is possible to define the arcwise

connected version of these functions.

Given an arcwise connected continuum X:

 

Ta:P(X) to P(X) given by, for each A in P(X),

Ta(A) = X \ { x in X : there is an arcwise

connected continuum W such that x is in

Int(W) and W does not intersect A}.

 

Ka:P(X) to P(X) given by, for each A in P(X),

Ka(A) = Intersection{ W : W is an arcwise

connected subcontinuum of X and A is in

the interior of W}

 

Some properties, examples and relations

between these functions are going to be

presented.