Navigate Up
Sign In
  • CRM
  • CRM
  • CRM
CRM > English > Activities > Curs 2016-2017 > IRP Operator Algebras: Dynamics and Interactions
IRP Operator Algebras: Dynamics and Interactions
 
March 1st to July 21st, 2017
General information
 
 
Description

The classification of simple nuclear C*-algebras has been work of many hands that has spanned over years. The AF-algebras - C* algebras that can be expressed as the norm closure of an increasing union of finite-dimensional subalgebras - constituted one of the first classes of simple C* -algebras to be classified. This was achieved by Elliott in the 1970's; his classification was essentially in terms of K-theory. But many tractable examples of simple C*-algebras lie outside this class, and the focus of classification theory quickly shifted to nuclear C*-algebras - those in which the identity map can, on any finite collection of elements, be approximately factored via two completely positive contractions, through a finite-dimensional C*-algebra. This leads to a beautiful connection back to von Neumann algebras: a separable C*-algebra is nuclear precisely when its double dual has the property of being Approximately Finite Dimensional. Inspired by von Neumann algebraic techniques developed by McDuff, and present in Kirchberg's work on purely infinite C*-algebras, Toms and Winter showed that tensorial absorption of a strongly self-absorbing C*-algebra such as the Jiang-Su algebra or the Cuntz algebra CodeCogsEqn (2).gifcan provide additional regularity properties required for a classification (using K-theoretical information) to hold.

 

These developments have resulted in a burst of activity in the area of simple nuclear C*-algebras with dramatic new advances (some very recent) in classification and structure being drivenby techniques directly analogous to those used in the classification of amenable von Neumann factors. At the same time, the rapidly-increasing scope of the theory has led to a demand for good models, akin to the realisation of AFD factors as crossed products, for each new class of C*-algebras encompassed by classification results.

 

Objectives:

This Intensive Research Program is designed simultaneously to speed up and contribute to the next game-changing developments in classification and structure theory for C*-algebras, and to prepare for the new state of play in the area once those developments arrive. According to current developments, the IRP will strive to blend different techniques coming both from C* and von Neumann algebras and find a common ground to maximise outputs. The program will bring together many of the world's leading researchers working on C*-algebras, von Neumann algebras, dynamical systems, and the interactions between these areas. There are three key objectives:

1. To advance classification programs for C*-algebras and for C*-dynamical systems.

2. To investigate further suitable models for classifiable C*-algebras arising from dynamics.

3. To encourage further interaction between C*-algebras and von Neumann algebras in light of current progress in both areas.

  

We expect the participation of young researchers, both predoctoral and postdoctoral in the activities planned during the program, particularly seminars, workshops, the intensive course and the conference.

 

Scientific organizers

 

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 ​
 
Invited visiting researchers
 
KevinAguyarUniversity of Copenhagen12/06/201729/06/2017
Astridan HuefVictoria University of Wellington14/06/201725/06/2017
RamonAntoineUniversitat Autònoma de Barcelona01/03/201721/07/2017
PereAraUniversitat Autònoma de Barcelona01/03/201721/07/2017
ScottAtkinsonVanderbilt University18/06/201725/06/2017
JoanBosaUniversity of Glasgow01/03/201721/07/2017
Nathanial P.BrownThe Pennsylvania State University10/04/201722/04/2017
Jan M.CameronVassar College18/03/201724/03/2017
LaurentCantierUniversitat Autònoma de Barcelona01/03/201721/07/2017
Toke MeierCarlsenUniversity of the Faroe Islands19/06/201710/07/2017
JoseCarrionTexas Christian University12/06/201723/06/2017
JorgeCastillejosKatholieke Universiteit Leuven20/03/201724/03/2017
JorgeCastillejosKatholieke Universiteit Leuven17/06/201723/06/2017
SarahChehadeUniversity of Houston12/03/201719/03/2017
Yeong ChyuanChungTexas A&M University12/03/201718/03/2017
JoanClaramuntUniversitat Autònoma de Barcelona01/03/201721/07/2017
KristinCourtneyUniversity of Virginia09/03/201725/03/2017
JoachimCuntzUniversität Münster24/04/201729/04/2017
MariusDadarlatPurdue University18/06/201723/06/2017
RobinDeeleyUniversity of Hawai'i-West O'ahu18/06/201724/06/2017
CalebEckhardtMiami University01/06/201728/06/2017
CalebEckhardtMiami University19/06/201723/06/2017
KariEiflerTexas A&M University11/06/201724/06/2017
SørenEilersUniversity of Copenhagen23/04/201707/05/2017
SørenEilersUniversity of Copenhagen19/06/201723/06/2017
George A.ElliottUniversity of Toronto17/06/201723/06/2017
George A.ElliottUniversity of Toronto01/07/201720/07/2017
SamuelEvingtonUniversity of Glasgow12/06/201723/06/2017
IlijasFarahYork University24/04/201701/05/2017
IlijasFarahYork University18/06/201730/06/2017
IlijasFarahYork University19/06/201723/06/2017
MichaelFirrisaDartmouth College14/03/201728/03/2017
JamieGabeUniversity of Southampton17/03/201725/03/2017
JamieGabeUniversity of Southampton10/06/201725/06/2017
EusebioGardellaUniversität Münster13/03/201721/04/2017
ElisabethGillaspyUniversität Münster13/03/201720/03/2017
ElisabethGillaspyUniversität Münster18/06/201725/06/2017
ThierryGiordanoUniversity of Ottawa27/04/201711/05/2017
IlanHirshbergBen-Gurion University of the Negev19/03/201726/03/2017
IlanHirshbergBen-Gurion University of the Negev11/06/201702/07/2017
IlanHirshbergBen-Gurion University of the Negev19/06/201723/06/2017
YasuyukiKawahigashiThe University of Tokyo08/05/201720/05/2017
KlausKeimelTechnische Universität Darmstadt27/03/201710/04/2017
CraigKleskiMiami University17/06/201724/06/2017
KangLiUniversität Münster13/03/201724/03/2017
HuaxinLinUniversity of Oregon09/04/201723/04/2017
FernandoLledóUniversidad Carlos III17/04/201728/04/2017
MatiasLolkUniversity of Copenhagen03/04/201724/04/2017
MartinoLupiniCalifornia Institut of Technology12/03/201702/04/2017
Luis DiegoMartínezUniversidad Carlos III12/03/201725/03/2017
MartinMathieuQueen's University14/03/201719/03/2017
MagdalenaMusatKobenhavns Universitet02/04/201723/04/2017
Chi-KeungNgNankai University18/06/201730/06/2017
EduardOrtegaNorwegian University of Science and Technology13/03/201724/03/2017
EduardOrtegaNorwegian University of Science and Technology05/06/201730/06/2017
Judith A.PackerUniversity of Colorado Boulder17/06/201724/06/2017
EnriquePardoUniversidad de Cádiz13/03/201724/03/2017
EnriquePardoUniversidad de Cádiz18/04/201728/04/2017
EnriquePardoUniversidad de Cádiz19/06/201723/06/2017
FrancescPereraUniversitat Autònoma de Barcelona01/03/201621/07/2017
N. ChristopherPhillipsUniversity of Oregon11/06/201723/07/2017
N. ChristopherPhillipsUniversity of Oregon19/06/201723/06/2017
IanPutnamUniversity of Victoria26/04/201711/05/2017
TimothyRainoneArizona State University10/03/201725/03/2017
SarahReznikoffKansas State University18/06/201724/06/2017
SarahReznikoffKansas State University19/06/201723/06/2017
LeonelRobertUniversity of Louisiana at Lafayette12/03/201725/03/2017
John ClarkRobertsonUniversity of Hawai'i-West O'ahu11/03/201718/03/2017
MikaelRørdamKobenhavns Universitet02/04/201723/04/2017
EduardoScarparoUniversity of Copenhagen04/06/201730/06/2017
AzinShahiriUniversitat Autònoma de Barcelona01/03/201721/07/2017
AdamSierakowskiUniversity of Wollongong04/06/201724/06/2017
AidanSimsUniversity of Wollongong05/03/201725/03/2017
AidanSimsUniversity of Wollongong04/06/201724/06/2017
ChristianSkauNorwegian University of Science and Technology26/04/201711/05/2017
KarenStrungPolskiej Akademii Nauk05/03/201723/03/2017
KarenStrungPolskiej Akademii Nauk18/06/201724/06/2017
GaborSzabóUniversity of Aberdeen07/03/201723/03/2017
HannesThielUniversität Münster05/03/201715/04/2017
AaronTikuisisUniversity of Aberdeen18/06/201724/06/2017
Maria GraziaViolaLakehead University12/06/201712/07/2017
QingyunWangUniversity of Oregon20/03/201727/03/2017
StuartWhiteUniversity of Glasgow29/05/201723/06/2017
RufusWillettUniversity of Hawai'i-Manoa18/06/201724/06/2017
DanaWilliamsDartmouth College11/03/201724/03/2017
WilhelmWinterUniversität Münster19/03/201724/03/2017
WilhelmWinterUniversität Münster12/06/201723/06/2017
JianchaoWuUniversity Park27/06/201713/07/2018
JoachimZachariasUniversity of Glasgow16/04/201729/04/2017
JoachimZachariasUniversity of Glasgow07/07/201714/07/2017

 

This is an automatic list updated as research visitors confirm their participation.
 
Activities

Weekly Seminar, March 1 to July 21, 2017

An invitation to C*-algebras, March 6 to 24, 2017

Advanced Course on Operator Algebras: groupoids, crossed products, and Rokhlin dimension, from March 13 to 17, 2017

Workshop on C*-algebras and Dynamical Systems, from March 20 to 24, 2017

Lecture series von Neumann algebras by Yasuyuki kawahigashi (The University of Tokyo), from May 11th to 19th, 2017

Barcelona Conference on C*-algebras: Structure, Classification and Dynamics, from June 19 to 23, 2017​

 

Acknowledgements

This program is made possible in part by the generous support from the Simons Foundation, the National Science Foundation and the Clay Mathematics Institute.

 

Further information

For inquiries about the program please contact the research program's coordinator at IRP@crm.cat.​

​ ​​​