Semiprojectivity of universal -algebras generated by algebraic elements

TY - JOUR

T1 - Semiprojectivity of universal -algebras generated by algebraic elements

AU - Shulman, Tatiana

PY - 2012/4

Y1 - 2012/4

N2 - Let p be a polynomial in one variable whose roots all have multiplicity more than 1. It is shown that the universal C *-algebra of a relation p(x) = 0, ||x|| ≤ 1, is semiprojective and residually finite-dimensional. Applications to polynomially compact operators are given.

AB - Let p be a polynomial in one variable whose roots all have multiplicity more than 1. It is shown that the universal C *-algebra of a relation p(x) = 0, ||x|| ≤ 1, is semiprojective and residually finite-dimensional. Applications to polynomially compact operators are given.

U2 - 10.1090/S0002-9939-2011-11144-4

DO - 10.1090/S0002-9939-2011-11144-4

M3 - Journal article

SN - 0002-9939

VL - 140

SP - 1363

EP - 1370

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

ER -