Semiprojectivity of universal -algebras generated by algebraic elements

Tatiana Shulman

doi:10.1090/S0002-9939-2011-11144-4

Semiprojectivity of universal -algebras generated by algebraic elements

Tatiana Shulman

Institut for Matematiske Fag

3 Citationer (Scopus)

Abstract

Let be a polynomial in one variable whose roots all have multiplicity more than 1. It is shown that the universal -algebra of a relation , , is semiprojective and residually finite-dimensional. Applications to polynomially compact operators are given.

Originalsprog	Engelsk
Tidsskrift	Proceedings of the American Mathematical Society
Vol/bind	140
Sider (fra-til)	1363-1370
ISSN	0002-9939
DOI	https://doi.org/10.1090/S0002-9939-2011-11144-4
Status	Udgivet - apr. 2012

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10.1090/S0002-9939-2011-11144-4

Citationsformater

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title = "Semiprojectivity of universal -algebras generated by algebraic elements",

abstract = "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.",

author = "Tatiana Shulman",

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AU - Shulman, Tatiana

PY - 2012/4

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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 -

Semiprojectivity of universal -algebras generated by algebraic elements

Abstract

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