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math.OA2007★ 6 cited
Lifting of nilpotent contractions
Tatiana Shulman
It is proved that that every nilpotent contraction in a quotient C*-algebra can be lifted to a nilpotent contraction. As a consequence we get that the universal C*-algebra generate…
math.OA2007
On universal C^*-algebras generated by n projections with scalar sum
Tatiana Shulman
We study the universal C^*-algebras generated by n projections subject to the relation , . The questions of when these C^*-algebr…
math.OA2007
The C*-algebras qA\otimes K and S^2A\otimes K are asymptotically equivalent
Tatiana Shulman
Let be a separable -algebra. We prove that its stabilized second suspension and the -algebra constructed by Cuntz in t…