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CRM > English > Activities > Curs 2016-2017 > Advanced Course on Operator Algebras: groupoids, crossed products, and Rokhlin dimension
Advanced Course on Operator Algebras: groupoids, crossed products, and Rokhlin dimension
General information 

From March 13 to 17, 2017

List of participants
Advanced course's information

The advanced course on Operator algebras and dynamical systems will provide the graduate students and junior researchers in attendance with an introduction to the essential ideas underlying recent advances in classification theory. Topics covered will include K-theory for C*-algebras and crossed products, classification theory for C*-algebras, Cartan subalgebras and groupoid C*-algebras, and Rockhlin dimension for dynamical systems.

The first topic will focus on the computation of K-theory for crossed product C*-algebras, including fundamental tools such as the Connes--Thom isomorphism for crossed products by R, the Pimsner--Voiculescu sequence for crossed products by Z, and the six-term sequence for crossed products by finite groups.
 
The second topic will outline the basic ideas and structure theory of groupoid C*-algebras for étale groupoids. It will outline the notions of diagonal, and Cartan, subalgebras of C*-algebras as described by Kumjian and Renault, and their role in the groupoid approach to Dixmier--Douady classification theory. Finally, it will discuss Renault's reconstruction theorem, and its role in Matsumoto and Matui's classification of shifts of finite type up to continuous orbit equivalence.
 
The final topic will begin by describing the the Rokhlin property for classical dynamical systems and its role in the theory of crossed products. It will discuss the notions of Rokhlin dimension for dynamical systems, and dynamic asymptotic dimension for groupoids, and outline the role of these notions in calculating nuclear dimension for crossed products and groupoid C*-algebras.

 

Speakers
Aidan Sims​ ​University of Wollongong
Gabor Szabó​ ​University of Aberdeen
​Dana Williams ​Dartmouth College
Scientific Committee
Nathanial P. Brown​ ​The Pennsylvania State University
Francesc Perera ​ ​Universitat Autònoma de Barcelona
Aidan Sims ​ ​University of Wollongong
Stuart White​ ​University of Glasgow
Wilhelm Winter ​ ​University of Münster ​
Organising Commitee
Ramon Antoine Universitat Autònoma de Barcelona​
Pere Ara​ ​Universitat Autònoma de Barcelona​
​Joan Claramunt ​Universitat Autònoma de Barcelona​
​Francesc Perera ​Universitat Autònoma de Barcelona​
​Azin Shahiri ​Universitat Autònoma de Barcelona​
Registration

 

Regular Registration fee  ​

Senior ​ 180€​
Junior* 150€​

 

 

*Phd students and post-docs having read the Thesis in the last two years

(Register button at the bottom right)

 

Deadline for registration: February 26th, 2017
 
Dual registration offer
Participants of this Advanced Course interested in participating in the following week's Workshop may take advantage of the Special dual registration.
 
Refund policy:
The registration fee depends on the date of the payment.
Cancellations received 1 month before the start of the activity will incur in an administrative fee of 50% of the total amount.
Cancellations received less than one month prior to the start of the activity are not refundable.
​ 
Lodging information
For lodging in the area please click here
For off-campus and family accommodation click here
 
 
Acknowledgements 
This program is made possible in part by the generous support from the Simons Foundation and the National Science Foundation.
 
 
Contact information
If you have any questions please contact:
Alba Tomàs (atomas@crm.cat)

 

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