Leiden University Student Repository

Ge, Y. (4437)

Subproduct systems from SU(2)-representations

Master thesis | Mathematics (MSc)

This thesis is motivated by the study of multivariate operator theory as well as the study of SU(2)-symmetries of C ? -algebras. We partially extend the results in [1]. In particular, we extend the fusion rules of the SU(2)-equivariant subproduct system from irreducible representations to the case of multiple copies; we extend the commutation relations of the resulting Toeplitz algebra of SU(2)-equivariant subproduct system from irreducible representations to the case of multiple copies. As applications, we prove the commutation relations in the resulting Cuntz–Pimsner algebra and obtain that the resulting Cuntz–Pimsner algebra is the closed span of noncommutative polynomials of a specific form

Author

Ge, Y.

Faculty

Faculty of Science

Supervisors

Arici, F.

ECTS Credits

40

Language

en