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A crossed-product approach to the Cuntz-Li algebras
C-crossed product number field adele ring
2011/2/25
Cuntz and Li have defined a C-algebra associated to any integral domain, using generators and relations, and proved that it is simple and purely infinite and that it is stably isomorphic to a crossed...
Factoriality, type classification and fullness for free product von Neumann algebras
Factoriality type classification von Neumann algebras
2010/11/24
We give a complete answer to the questions of factoriality, type classification and fullness for arbitrary free product von Neumann algebras
An improved sum-product inequality in fields of prime order
sum-product inequality prime order
2010/11/18
This note improves the best known exponent 1/12 in the prime field sum-product inequality (for small sets) to 1/11, modulo a logarithmic factor.
The Freudenthal product and orbits in the Jordan algebra over the exceptional Lie group of type F$_{4(-20)}$
Freudenthal orbits Jordan algebra
2010/11/9
The orbit decomposition is presented for the real form of complex simple Jordan algebra with the automorphism group F$_{4(-20)}$, explicitly, in terms of the cross product and the characteristic polyn...
Representations of the Temperley-Lieb Algebra via a New Inner Product on Half-Diagrams
Representations of the Temperley-Lieb Algebra New Inner Product Half-Diagrams
2011/1/17
The Temperley-Lieb algebra is an algebra given by generators and relations which arose in a problem in statistical mechanics considered by Temper-ley and Lieb [8]. Since then the algebra has been used...