- Title
- Quantum spheres and projective spaces as graph algebras
- Creator
- Hong, Jeong Hee; Szymański, Wojciech
- Relation
- Communications in Mathematical Physics Vol. 232, Issue 1, p. 157-188
- Publisher Link
- http://dx.doi.org/10.1007/s00220-002-0732-1
- Publisher
- Springer
- Resource Type
- journal article
- Date
- 2002
- 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.
- Subject
- quantum spheres; projective spaces; graph algebras
- Identifier
- uon:1422
- Identifier
- http://hdl.handle.net/1959.13/27162
- Identifier
- ISSN:0010-3616
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