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math.OA2022
CCR and CAR algebras are connected via a path of Cuntz-Toeplitz algebras
Alexey Kuzmin
For , we consider the universal enveloping -algebra of a -algebra of -canonical commutation relations (-CCR), which is generated by $a_1,…
math.DG2022
Index theory of hypoelliptic operators on Carnot manifolds
Magnus Goffeng, Alexey Kuzmin
We study the index theory of hypoelliptic operators on Carnot manifolds -- manifolds whose Lie algebra of vector fields is equipped with a filtration induced from sub-bundles of th…