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math.OA2003★ 32 cited
On C*-algebras generated by pairs of q-commuting isometries
Palle E. T. Jorgensen, Daniil P. Proskurin, Yurii S. Samoilenko
We consider the C*-algebras O_2^q and A_2^q generated, respectively, by isometries s_1, s_2 satisfying the relation s_1^* s_2 = q s_2 s_1^* with |q| < 1 (the deformed Cuntz relatio…
math.OA2001
Stability of C^*-algebra associated with the twisted CCR
Daniil Proskurin, Yurii Samoilenko
The -algebra associated with the twisted CCR constructed by W. Pusz and S.L. Woronowicz is considered. It is proved that the -algebras corresponding to different values o…
math.OA2001
On bounded and unbounded idempotents whose sum is a multiple of the identity
Yurii Samoilenko, Lyudmila Turowska
We study bounded and unbounded representations of the -algebra generated by idempotents whose sum equals (, is the identity).