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Full-Text Articles in Physical Sciences and Mathematics

Groups, Representations And Haagerup´S Inequality For Buildings, Jacqueline Ramagge Nov 2012

Groups, Representations And Haagerup´S Inequality For Buildings, Jacqueline Ramagge

Professor Jacqui Ramagge

No abstract provided.


A Haagerup Inequality For A1 X A1 And A2 Buildings, Jacqueline Ramagge, Guyan Robertson, Tim Steger Nov 2012

A Haagerup Inequality For A1 X A1 And A2 Buildings, Jacqueline Ramagge, Guyan Robertson, Tim Steger

Professor Jacqui Ramagge

Haagerup's inequality for convolvers on free groups may be interpreted as a result on A1 buildings, i.e. trees. Here are proved analogous inequalities for discrete groups acting freely on the vertices of A1 x A1 and A2 buildings. The results apply in particular to groups of typerotating automorphisms acting simply transitively on the vertices of such buildings. These results provide the first examples of higher rank groups with property (RD).


Factors From Buildings, Jacqueline Ramagge, A Robertson Nov 2012

Factors From Buildings, Jacqueline Ramagge, A Robertson

Professor Jacqui Ramagge

No abstract provided.


Triangle Buildings And Actions Of Type Iii 1/Q2, Jacqueline Ramagge, Guyan Robertson Nov 2012

Triangle Buildings And Actions Of Type Iii 1/Q2, Jacqueline Ramagge, Guyan Robertson

Professor Jacqui Ramagge

We study certain group actions on triangle buildings and their boundaries and some von Neumann algebras which can be constructed from them. In particular, for buildings of order q ≥ 3 certain natural actions on the boundary are hyperfinite of type III1/q2.


Cohomology Of Buildings And Finiteness Properties Of An-Groups, Jacqueline Ramagge, Wayne Wheeler Nov 2012

Cohomology Of Buildings And Finiteness Properties Of An-Groups, Jacqueline Ramagge, Wayne Wheeler

Professor Jacqui Ramagge

Borel and Serre calculated the cohomology of the building associated to a reductive group and used the result to deduce that torsion-free S-arithmetic groups are duality groups. By replacing their group-theoretic arguments with proofs relying only upon the geometry of buildings, we show that Borel and Serre's approach can be modied to calculate the cohomology of any locally nite ane building. As an application we show that any nitely presented e An-group is a virtual duality group. A number of other niteness conditions for e An-groups are also established.


Model-Based Fuzzy Control For Buildings Installed With Magneto-Rheological Dampers, Haiping Du, Nong Zhang Nov 2012

Model-Based Fuzzy Control For Buildings Installed With Magneto-Rheological Dampers, Haiping Du, Nong Zhang

Dr Haiping Du

No abstract provided.


Slides: Impacts Of Energy Deficits In Cooking, Illumination, Water, Sanitation, And Motive Power, Paul S. Chinowsky Sep 2012

Slides: Impacts Of Energy Deficits In Cooking, Illumination, Water, Sanitation, And Motive Power, Paul S. Chinowsky

2012 Energy Justice Conference and Technology Exposition (September 17-18)

Presenter: Dr. Paul Chinowsky, Director, Mortenson Center in Engineering for Developing Communities; Professor, University of Colorado

25 slides