Quantum Cylindric Set Algebras

Quantum cylindric algebras were introduced by the author as a generalization of their classical counterpart. Primary examples based on Weaver's treatment of the tensor power of a Hilbert space with diagonals given by symmetric tensor products are called full quantum cylindric set algebras. We generalize a result of Sudkamp in the classical setting and axiomatize n-dimensional full quantum cylindric set algebras.

Automated summary

Quantum cylindric algebras are introduced as a generalization of their classical counterpart, with primary examples being the full quantum cylindric set algebras based on Weaver's treatment of tensor power of a Hilbert space and symmetric tensor products for diagonals. A result of Sudkamp is generalized in the classical setting and axiomatized for n-dimensional full quantum cylindric set algebras.