Semiprojectivity of universal -algebras generated by algebraic elements

Author:
Tatiana Shulman

Journal:
Proc. Amer. Math. Soc. **140** (2012), 1363-1370

MSC (2010):
Primary 46L05, 46L35

Published electronically:
August 9, 2011

MathSciNet review:
2869120

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Abstract | References | Similar Articles | Additional Information

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.

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Additional Information

**Tatiana Shulman**

Affiliation:
Department of Mathematical Sciences, University of Copenhagen, Universitet- sparken 5, DK-2100 Copenhagen, Denmark

Email:
shulman@math.ku.dk, tatiana_shulman@yahoo.com

DOI:
https://doi.org/10.1090/S0002-9939-2011-11144-4

Keywords:
Projective and semiprojective $C^{*}$-algebras,
stable relation,
lifting problem,
$M$-ideal

Received by editor(s):
June 13, 2009

Received by editor(s) in revised form:
January 5, 2011

Published electronically:
August 9, 2011

Communicated by:
Marius Junge

Article copyright:
© Copyright 2011
American Mathematical Society

The copyright for this article reverts to public domain 28 years after publication.