The Calkin algebra is not countably homogeneous

Ilijas Farah; Ilan Hirshberg

doi:10.1090/proc/13137

The Calkin algebra is not countably homogeneous

Ilijas Farah
, Ilan Hirshberg

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

We show that the Calkin algebra is not countably homogeneous, in the sense of continuous model theory. We furthermore show that the connected component of the unitary group of the Calkin algebra is not countably homogeneous.

Original language	English
Pages (from-to)	5351-5357
Number of pages	7
Journal	Proceedings of the American Mathematical Society
Volume	144
Issue number	12
DOIs	https://doi.org/10.1090/proc/13137
State	Published - 1 Jan 2016

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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title = "The Calkin algebra is not countably homogeneous",

abstract = "We show that the Calkin algebra is not countably homogeneous, in the sense of continuous model theory. We furthermore show that the connected component of the unitary group of the Calkin algebra is not countably homogeneous.",

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The Calkin algebra is not countably homogeneous

Abstract

ASJC Scopus subject areas

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