Chunxiang Wang
Abstract
The notion of Hilbert C*-modules graded by a semilattice was first introduced in the study of many-body systems. We show the relationship between these Hilbert C*-modules and their homogeneous subspaces. We study the stability of graded Hilbert C*-modules under tensor products and crossed products.
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The notion of Hilbert C*-modules graded by a semilattice was first introduced in the study of many-body systems. We show the relationship between these Hilbert C*-modules and their homogeneous subspaces. We study the stability of graded Hilbert C*-modules under tensor products and crossed products.
Key concepts: Hilbert series and Hilbert polynomial, Mathematics, Hilbert–Poincaré series, Semilattice, Hilbert's basis theorem, Pure mathematics, Hilbert space, Hilbert manifold