Entrance hall of the ICMS

The structure and classification of nuclear C*-algebras

Apr 15, 2013 - Apr 19, 2013

ICMS, 15 South College Street

Organisers

Name Institution
Elliott, George University of Toronto
Toms, Andrew Purdue University
White, Stuart University of Glasgow
Winter, Wilhelm University of Muenster

 

An operator algebra can be interpreted quite broadly, but is frequently taken to be an algebra of bounded linear operators on a Hilbert space closed under the formation of adjoints, and furthermore closed under either the norm topology (C*-algebras) or the strong operator topology (W *-algebras). The theory of these algebras began with the work of Murray and von Neumann in the 1930s, and has since expanded to touch much of modern mathematics, including number theory, geometry, ergodic theory, and topology. This workshop focuses on C*-algebras, the noncommutative analogue of locally compact topological spaces. It will be concentrated on the following three topics, all of which have recently seen great progress and enjoy a high profile: K-theoretic classification of C*-algebras; topological dynamics and C*-algebras; and uniform perturbations of C*-algebras.
 

The workshop is grateful for financial support from the Learning, Teaching and Research fund of Glasgow Mathematical Journal Trust.  

Group Photographs

Group photo 1

List of delegates

More photographs

 

 

Arrangements

Participation
Participation is expected to be by invitation only. However, those interested in attending the workshop supported by their own funding are welcome to contact Helene Frossling for more information.

UK Visas

If you are travelling from overseas you may require an entry visa. A European visa does not guarantee entry to the UK. Please use this link to the UK Visas site to find out if you need a visa and if so how to apply for one.

Venue
The workshop will be held at 15 South College Street, Edinburgh.  You may also find this map useful for the workshop.  All lectures will be held in the Newhaven Lecture Theatre.  To view this room and a list of the visual equipment available click here.  In addition, two blackboards have recently been installed.  The projector and one board may be used simultaneously.   

Wireless Access
The workshop venue, 15 South College Street, has wireless access throughout. On arrival at Registration you will be given instructions and a code for accessing the wireless network.  For those without laptops, there will also be a couple of computers available for you to check your emails.

Travel
Information about travel to the UK and Edinburgh is available here.

Please note that it is your responsibility to have adequate travel insurance to cover medical and other emergencies (volcanic ash disruptions) that may occur on your trip. 

A taxi directly from the airport will cost approximately 15.00 to 20.00 GBP to the city centre for a one-way journey.     There is also a bus service direct from the airport to the city centre which will cost 3.50 single or 6.00 GBP return - the Airlink 100.  This is a frequent service (every 10 minutes during peak times) and will bring you close to Waverley Railway Station, only a short walk to the accommodation and the workshop venue (see map in 'Venue' section above). 

Lothian buses charge £1.50 for a single, £3.50 for a day ticket. Please note that the exact fare is required and no change is given.

If travelling by train, please note that Edinburgh has two railway stations - Waverley Railway Station being the main station and closest to the workshop venue at 15 South College Street. If you alight at Edinburgh Waverley, the workshop venue is an easy 10 minute walk over North and South Bridge. The second railway station is called Haymarket and is at the West End of the city centre.

Catering
Refreshments will be provided during the coffee breaks for the duration of the event.   A light lunch will be available in the Chapterhouse of 15 South College Street on Monday, Tuesday and Thursday.  There will be a workshop dinner. The workshop venue and the accommodation are located centrally near many restaurants, bars, pubs and cafes. In your delegates pack (handed out at Registration on 15 April) there will be suggestions of places to eat, and ICMS staff are always happy to recommend further places too.

Financial Matters and Registration Fee
The workshop grant covers some of your costs in Edinburgh. For details, please see your individual invitation, or contact Helene Frossling. 

A registration fee of 50.00 GBP is payable.   If possible, we'd prefer that this fee is paid in advance of the meeting by completing the details on the credit/debit card payment form.   As email is not secure, please print the form and return it by fax using the fax number at the top of the form.   ICMS will take your payment and a receipt will be emailed to you.  Alternatively, we can accept sterling cheques, made payable to Heriot-Watt University but sent to Helene Frossling, ICMS, 15 South College Street, Edinburgh, EH8 9AA.  If you have any difficulty in paying in advance, it is possible for you to simply pay on arrival at Registration. 

If we have agreed to pay some of your travel costs the amount will be confirmed in your 'Final Information' email which you will receive a week prior to the workshop.  Reimbursement will take place after the event and will involve payment directly into your bank account.  At Registration you will be given an expenses claim form and this should be submitted to ICMS, with original receipts. It would be helpful if you could bring your bank details to the workshop. In addition to the bank account number, participants from the USA and Canada will require their bank’s routing number, those from the UK will be asked for the bank sort code, and those from  the rest of the world, an IBAN and SWIFT/BIC code. We cannot reimburse any item without a signed claim form and original receipts.  

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Programme

Preliminary programme uploaded 26 March. Updated 15 April

Monday 15 April 2013

09.30 - 10.30

Registration and Coffee in the Chapterhouse, Level 1, 15 South College Street

10.30 - 11.15

Francesc Perera (Universitat Autònoma de Barcelona)
Regularity properties of the Cuntz semigroup

11.30 - 12.15

Rob Archbold (University of Aberdeen)
Norms of inner derivations for multiplier algebras of C*-algebras 

12.15 - 14.00

Buffet lunch in the Chapterhouse, Level 1

14.00 - 14.45

Leonel Robert (University of Louisiana at Lafayette)
Non-simple C*-algebras of finite decomposition rank

15.00 - 15.30

Taylor Hines (Purdue University)
The radius of comparison and mean dimension of minimal systems

15.30 - 16.00

Coffee and tea in the Chapterhouse, Level 1

16.00 - 16.30

Nadia Larsen (University of Oslo)
Partial actions and KMS states on graph algebras

16.45 - 17.15

Gabor Szabo (University of Muenster)
The Rokhlin dimension of topological Z^m-actions

17.15 - 18.30

Wine Reception in the Chapterhouse, Level 1

 

Tuesday 16 April 2013

09.30 - 10.15

Ian Putnam (University of Victoria)
A model for minimal Z^2 actions on the Cantor set

10.15 - 10.45

Coffee and tea in the Chapterhouse, Level 1

10.45 - 11.30

Jean Renault (Université d'Orléans)
Topological amenability is a Borel property

11.45 - 12.15

Hannes Thiel (University of Muenster)
Equivariant Semiprojectivity

12.15 - 14.00

Buffet lunch in the Chapterhouse, Level 1

14.00 - 14.45

Christian Skau (Norwegian University of Science and Technology)
The K-theory of Toeplitz flows

14.45 - 15.15

Coffee and tea in the Chapterhouse, Level 1

15.15 - 15.45

Caleb Eckhardt (Miami University)
Quasidiagonality and Group C*-algebras

16.00 - 16.30

Joan Bosa (Universitat Autonoma de Barcelona)
Title TBA

19.00 

Joint dinner for workshop participants; more details in participant pack 

 

Wednesday 17 April 2013

09.30 - 10.15

David Kerr (University of Tokyo and Texas A&M University)
Actions of free groups on nuclear C*-algebras

10.15 - 10.45

Coffee and tea in the Chapterhouse, Level 1

10.45 - 11.30

Astrid an Heuf (University of Otago)
The K-theory of C*-algebras associated to integer dilation matrices

11.45 - 12.15

Matthew Daws (University of Leeds)
The Haagerup property for discrete quantum groups

 

Free afternoon (some cultural activities will be organised)

 

Thursday 18 April 2013

09.30 - 10.15

Ilijas Farah (York University (Toronto)
Applications of model theory to C*-algebras

10.15 - 10.45

Coffee and tea in the Chapterhouse, Level 1

10.45 - 11.30

Huaxin Lin (University of Oregon)
Kishimoto's Theorems of conjugacy in simple C*-algebras of tracial rank one

11.45 - 12.15

Ramon Antoine (Universitat Autònoma de Barcelona)
The Cuntz semigroup of continuous fields

12.15 - 14.00

Buffet lunch in the Chapterhouse, Level 1

14.00 - 14.45

Marius Dadarlat (Purdue University)
Invariants of continuous fields

14.45 - 15.15

Coffee and tea in the Chapterhouse, Level 1

15.15 - 15.45

Hyun Ho Lee (University of Ulsan)
Lifting projections from the corona algebra

16.00 - 16.30

Gwion Evans (University of Aberystwyth)
On classifying simple higher-rank graph C*-algebras

19.00

Workshop dinner

 

Friday 19 April 2013

09.30 - 10.15

Thierry Giordano (University of Ottawa)
Generalizations of Voiculescu's non-commutative Weyl-von Neumann theorem and some applications

10.15 - 10.45

Coffee and tea in the Chapterhouse, Level 1

10.45 - 11.30

Asger Tornquist (University of Copenhagen)
A family of free Araki-Woods factors which cannot be classified by countable structures

11.45 - 12.15

Otgonbayar Uuye (University of Cardiff)
K-continuity is equivalent to K-exactness

12.15 - 14.00

Buffet lunch in the Chapterhouse, Level 1

14.00 - 14.45

Ilan Hirshberg (Ben Gurion University of the Negev )
On actions with finite Rokhlin dimension

14.45 - 15.15

Coffee and tea in the Chapterhouse, Level 1

15.15 - 15.45

Ulrich Pennig (University of Muenster)
A Dixmier-Douady Theory for strongly self-absorbing C*-algebras

16.00 - 16.30

David McConnell (Trinity College Dublin)
The Glimm space of the minimal tensor product of C*-algebras

 

Participants

Name Institution
an Huef, Astrid University of Otago
Antoine, Ramon Universitat Autonoma de Barcelona
Archbold, Robert University of Aberdeen
Bosa, Joan Universitat Autònoma de Barcelona
Brown, Nate Penn State University
Christensen, Erik University of Copenhagen
Dadarlat, Marius Purdue University
Daws, Matthew University of Leeds
Dickson, Liam University of Glasgow
Dritschel, Michael Newcastle University
Eckhardt, Caleb Miami University
Elliott, George University of Toronto
Engbers, Martin University of Muenster
Evans, Gwion Aberystwyth University
Farah, Ilijas York University (Toronto)
Giordano, Thierry University of Ottawa
Hilsum, Michel CNRS
Hines, Taylor Purdue University
Hirshberg, Ilan Ben Gurion University of the Negev 
Hoynes, Siri-Malen NTNU
Jacelon, Bhishan University of Muenster
Kerr, David The University of Tokyo and Texas A&M University
Larsen, Nadia University of Oslo
Lawson, Mark Heriot-Watt University
Lee, Hyun Ho University of Ulsan
Lin, Huaxin University of Oregon
Loughlin, Nicholas Newcastle University
Mathieu, Martin Queen's University Belfast
Matui, Hiroki Chiba University
McConnell, David Trinity College Dublin
Orovitz, Joav Ben Gurion University of the Negev
Pennig, Ulrich University of Muenster
Perera, Francesc Universitat Autònoma de Barcelona
Putnam, Ian University of Victoria
Renault, Jean Université d'Orléans
Robert, Leonel University of Louisiana at Lafayette
Sinclair, Allan University of Edinburgh
Skau, Christian Norwegian University of Science and Technology
Strung, Karen Universitat Muenster
Szabo, Gabor University of Muenster
Thiel, Hannes University of Muenster
Timoney, Richard Trinity College Dublin
Toms, Andrew Purdue University
Tornetta, Gabriele Unviersity of Glasgow
Tornquist, Asger University of Copenhagen
Uuye, Otgonbayar University of Cardiff
Wallis, Alistair Heriot-Watt University
Wassermann, Simon University of Glasgow
Watson, Nicola University of Toronto
White, Stuart University of Glasgow
Winter, Wilhelm University of Muenster
Zacharias, Joachim University of Glasgow
Zelenberg, Aleksey The Pennsylvania State University