An ultrapower construction of the multiplier algebra of a $C^{\ast}$-algebra and an application to boundary amenability of groups
Adv. Oper. Theory, Volume 4, Number 4 (2019), 852-864 Using ultrapowers of $C^{\ast}$-algebras we provide a new construction of the multiplier algebra of a $C^{\ast}$-algebra. This extends the work of Avsec and Goldbring [Houston J. Math., to appear, arXiv:1610.09276.] to the setting of noncommutati...
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| Main Authors: | , |
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| Format: | Journal Article |
| Language: | English |
| Published: |
18-03-2019
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| Subjects: | |
| Online Access: | Get full text |
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| Summary: | Adv. Oper. Theory, Volume 4, Number 4 (2019), 852-864 Using ultrapowers of $C^{\ast}$-algebras we provide a new construction of the
multiplier algebra of a $C^{\ast}$-algebra. This extends the work of Avsec and
Goldbring [Houston J. Math., to appear, arXiv:1610.09276.] to the setting of
noncommutative and nonseparable $C^{\ast}$-algebras. We also extend their work
to give a new proof of the fact that groups that act transitively on locally
finite trees with boundary amenable stabilizers are boundary amenable. |
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| DOI: | 10.48550/arxiv.1903.07249 |