A noncommutative 2-sphere generated by the quantum complex plane

• Autorzy: Ismael Cohen , Elmar Wagner
• Języki publikacji: EN

Abstrakty

EN

S. L. Woronowicz's theory of C*-algebras generated by unbounded elements is applied to q-normal operators satisfying the defining relation of the quantum complex plane. The unique non-degenerate C*-algebra of bounded operators generated by a q-normal operator is computed and an abstract description is given by using crossed product algebras. If the spectrum of the modulus of the q-normal operator is the positive half line, this C*-algebra will be considered as the algebra of continuous functions on the quantum complex plane vanishing at infinity, and its unitization will be viewed as the algebra of continuous functions on a quantum 2-sphere.

Kategorie tematyczne

• 46L65: Quantizations, deformations
• 58B32: Geometry of quantum groups

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2012
• Tom: 98
• Numer: 1
• Strony: 55-66

Daty

wydano

2012

Twórcy

autor

Ismael Cohen

• Instituto de Física y Matemáticas, Universidad Michoacana de San Nicolás de Hidalgo, Morelia, México
• Centro de Ciencias Matemáticas, Universidad Nacional Autónoma de México (UNAM), Morelia, México

autor

Elmar Wagner

• Instituto de Física y Matemáticas, Universidad Michoacana de San Nicolás de Hidalgo, Morelia, México

Identyfikatory

DOI

10.4064/bc98-0-3