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math.OA1999
Inclusions of second quantization algebras
Franca Figliolini, Daniele Guido
In this note we study inclusions of second quantization algebras, namely inclusions of von Neumann algebras on the Fock space of a separable complex Hilbert space H, generated by t…
math.OA1999
Representations of Direct Product of Matrix Algebras
Daniele Guido, Lars Tuset
Suppose B is the unital algebra consisting of the algebraic product of full matrix algebras over an index set X. A bijection is set up between the equivalence classes of irreducibl…
math.OA1999
Singular traces, dimensions, and Novikov-Shubin invariants
Daniele Guido, Tommaso Isola
In Alain Connes noncommutative geometry, the question of the existence of a non-trivial integral can be described in terms of the singular traceability of the compact operator |D|^…