The C*-algebra of a partial isometry-Reference-Cited by-同舟云学术

The C*-algebra of a partial isometry

Published:2011-05-11 Issue:1 Volume:140 Page:199-206
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Brenken Berndt,Niu Zhuang

Abstract

The universal C*-algebra generated by a partial isometry is a non-unital residually finite dimensional C*-algebra which is not exact. Many unitarily inequivalent partial isometries generating any given finite dimensional full matrix algebra are constructed. The K K -groups of this algebra are computed, and it is shown that all projections in the algebra are equivalent.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2012-140-01/S0002-9939-2011-10988-2/S0002-9939-2011-10988-2.pdf

Reference8 articles.

1. Encyclopaedia of Mathematical Sciences;Blackadar, B.,2006

2. The full 𝐶*-algebra of the free group on two generators;Choi, Man Duen;Pacific J. Math.,1980

3. Partial isometries;Halmos, P. R.;Pacific J. Math.,1963

4. Pure and Applied Mathematics;Kadison, Richard V.,1983

5. Some 𝐶*-alegebras with a single generator;Olsen, Catherine L.;Trans. Amer. Math. Soc.,1976

Cited by 6 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Free actions of groups on separated graph *-algebras;Transactions of the American Mathematical Society;2023-01-23

2. Approximation properties of $$C^{*}$$-algebras of cancellative semigroups;Boletín de la Sociedad Matemática Mexicana;2021-12-01

3. On Algebras Generated by a Partial Isometry;Complex Analysis and Operator Theory;2019-06-08

4. On freely generated semigraph C *-algebras;Mathematica Slovaca;2016-02-01

5. Dynamical systems associated to separated graphs, graph algebras, and paradoxical decompositions;Advances in Mathematics;2014-02