Rights statement: First published in Proc. Amer. Math. Soc. 146 (2018), published by the American Mathematical Society. © 2018 American Mathematical Society.
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Research output: Contribution to Journal/Magazine › Journal article › peer-review
Research output: Contribution to Journal/Magazine › Journal article › peer-review
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TY - JOUR
T1 - An infinite C*-algebra with a dense, stably finite *-subalgebra
AU - Laustsen, Niels Jakob
AU - White, Jared
N1 - First published in Proc. Amer. Math. Soc. 146 (2018), published by the American Mathematical Society. © 2018 American Mathematical Society.
PY - 2018/3
Y1 - 2018/3
N2 - We construct a unital pre-C*-algebra $ A_0$ which is stably finite, in the sense that every left invertible square matrix over $ A_0$ is right invertible, while the C*-completion of $ A_0$ contains a nonunitary isometry, and so it is infinite.
AB - We construct a unital pre-C*-algebra $ A_0$ which is stably finite, in the sense that every left invertible square matrix over $ A_0$ is right invertible, while the C*-completion of $ A_0$ contains a nonunitary isometry, and so it is infinite.
KW - C-algebra
KW - stably finite
KW - infinite
KW - completion
KW - free product
U2 - 10.1090/proc/13931
DO - 10.1090/proc/13931
M3 - Journal article
VL - 146
SP - 2523
EP - 2528
JO - Proceedings of the American Mathematical Society
JF - Proceedings of the American Mathematical Society
SN - 0002-9939
ER -