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math.QA2001
K-Theory and peiodic cyclic homology of some noncompact quantum algebras
Do Ngoc Diep, Aderemi O. Kuku
We prove in this paper that the periodic cyclic homology of the quantized algebras of functions on coadjoint orbits of connected and simply connected Lie group, are isomorphic to t…
math.QA1999
Compact quantum group C^*-algebras as Hopf algebras with approximate unit
Do Ngoc Diep, Phung Ho Hai, Aderemi O. Kuku
In this paper we construct and study the representation theory of a Hopf C^*-algebra with approximate unit, which constitutes quantum analogue of a compact group C^*-algebra. The c…