Math. Phys. seminar at SISSA

[Emanuele Tuillier Illingworth]

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MATHEMATICAL PHYSICS SECTOR ACTIVITIES
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Giuseppe De Nittis

"Topologically non-equivalent realizations of the non-commutative 
rational torus"

Abstract:

In this talk I will briefly describe two faithful, but not unitarily 
equivalent, representations of the (abstract) C*-algebra of the 
non-commutative torus (NCT).
When the deformation parameter is rational (M\N) each of these 
representations is related (essentially in a unique way) to a rank N 
vector vector bundle over a two dimensional torus. The non unitary 
equivalence  occurs in a different topology of these vector bundles.


Thu. 5 March at 14.30 in SISSA lecture room C



-- 
Dr. Emanuele Tuillier Illingworth
Secretary of Mathematical Physics and Elementary Particle sectors
(+39) 040 37 87 598
SISSA
Via Beirut 2-4
Trieste, ITALY
tuillier at sissa.it