Graph C∗-algebras and z2-quotients of quantum spheres
نویسندگان
چکیده
منابع مشابه
Quantum Lens Spaces and Principal Actions on Graph C-Algebras
We study certain principal actions on noncommutative C-algebras. Our main examples are the Zpand T-actions on the odd-dimensional quantum spheres, yielding as fixed-point algebras quantum lens spaces and quantum complex projective spaces, respectively. The key tool in our analysis is the relation of the ambient C-algebras with the Cuntz-Krieger algebras of directed graphs. A general result abou...
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We prove a spectral theorem for bimodules in the context of graph C∗-algebras. A bimodule over a suitable abelian algebra is determined by its spectrum (i.e., its groupoid partial order) iff it is generated by the Cuntz– Krieger partial isometries which it contains iff it is invariant under the gauge automorphisms. We study 1-cocycles on the Cuntz–Krieger groupoid associated with a graph C∗-alg...
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ژورنال
عنوان ژورنال: Reports on Mathematical Physics
سال: 2003
ISSN: 0034-4877
DOI: 10.1016/s0034-4877(03)80015-0