Quantum spheres and projective spaces as graph algebras | NOVA. The University of Newcastle's Digital Repository

Home

Please use this identifier to cite or link to this item: http://hdl.handle.net/1959.13/27162

Title: Quantum spheres and projective spaces as graph algebras
Author/Creator: Hong, Jeong Hee; Szymański, Wojciech
Description: The C*-algebras of continuous functions on quantum spheres, quantum real projective spaces, and quantum complex projective spaces are realized as Cuntz-Krieger algebras corresponding to suitable directed graphs. Structural results about these quantum spaces, especially about their ideals and K-theory, are then derived from the general theory of graph algebras. It is shown that the quantum even and odd dimensional spheres are produced by repeated application of a quantum double suspension to two points and the circle, respectively.
Relation: Communications in Mathematical Physics Vol. 232, Issue 1, p. 157-188
Publisher Link: http://dx.doi.org/10.1007/s00220-002-0732-1
Date: 2002
Publisher: Springer
Keyword(s): quantum spheres; projective spaces; graph algebras
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.13/27162
Identifier: ISSN:0010-3616

29 Visitors

32 Hits

NOVA. The University of Newcastle's Digital Repository