The Structure of Line Bundles over Quantum Teardrops

Over the quantum weighted 1-dimensional complex projective spaces, called quantum teardrops, the quantum line bundles associated with the quantum principal U(1)-bundles introduced and studied by Brzezinski and Fairfax are explicitly identified among the finitely generated projective modules which are classified up to isomorphism. The quantum lens space in which these quantum line bundles are embedded is realized as a concrete groupoid C*-algebra

Quasi Multiplication and K-groups

This is the publisher's version, also available electronically from http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=9001075&fileId=S1446788712000584We give a negative answer to the question raised by Mart Abel about whether his proposed definition of K0 and K1 groups in terms of quasi multiplication is indeed equivalent to the established ones in algebraic K-theory

Toeplitz C*-algebras over pseudoconvex Reinhardt domains

This is the published version, also available here: http://dx.doi.org/10.1090/S0273-0979-1989-15753-4. First published in Bull. Amer. Math. Soc in 1989, published by the American Mathematical Society