3 papers
math.QA2018
Function algebras on a 2-dimensional quantum complex plane
Ismael Cohen, Elmar Wagner
The well-behaved representations of the coordinate algebra of a 2-dimensional quantum complex plane are classified and a C*-algebra is defined which can be viewed as the algebra of…
math.QA2018
A noncommutative 2-sphere generated by the quantum complex plane
Ismael Cohen, Elmar Wagner
S. L. Woronowicz's theory of introducing C*-algebras generated by unbounded elements is applied to q-normal operators satisfying the defining relation of the quantum complex plane.…
math.QA2018
K-theory and index pairings for C*-algebras generated by q-normal operators
Ismael Cohen, Elmar Wagner
The paper presents a detailed description of the K-theory and K-homology of C*-algebras generated by q-normal operators including generators and the index pairing. The C*-algebras…