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Almost commutative Riemannian geometry, I: wave operators
noncommutative geometry quantum groups quantum gravity
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2010/12/3
Associated to any (pseudo)-Riemannian manifold M of dimension n is an n + 1-dimensional noncommutative di erential structure (1; d)on the manifold.
Random unitaries in non-commutative tori, and an asymptotic model for q-circular systems
non-commutative tori asymptotic model q-circular systems
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2010/10/29
We consider the concept of a q-circular system, which is a deformation of the circular system from free probability, taking place in the framework of the so-called 'q-commutation relations'. We show ...
Unique Factorisation for Commutative Rings Without Identity
Irreducibility associates unique factorisation
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2010/3/5
This paper concerns the unique factorisation property in commutative rings not necessarily with identity. We give a new definition of irreducibility and associates in a commutative ring with 1 (crwl),...