A note on amenability of locally compact quantum groups

Piotr M. Sołtan; Ami Viselter

doi:10.4153/CMB-2012-032-3

A note on amenability of locally compact quantum groups

Piotr M. Sołtan, Ami Viselter

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

Abstract

In this short note we introduce a notion called quantum injectivity of locally compact quantum groups, and prove that it is equivalent to amenability of the dual. In particular, this provides a new characterization of amenability of locally compact groups.

Original language	American English
Pages (from-to)	424-430
Number of pages	7
Journal	Canadian Mathematical Bulletin
Volume	57
Issue number	2
DOIs	https://doi.org/10.4153/CMB-2012-032-3
State	Published - Jun 2014
Externally published	Yes

Keywords

Amenability
Conditional expectation
Injectivity
Locally compact quantum group
Quantum injectivity

All Science Journal Classification (ASJC) codes

General Mathematics

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10.4153/CMB-2012-032-3

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title = "A note on amenability of locally compact quantum groups",

abstract = "In this short note we introduce a notion called quantum injectivity of locally compact quantum groups, and prove that it is equivalent to amenability of the dual. In particular, this provides a new characterization of amenability of locally compact groups.",

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year = "2014",

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doi = "10.4153/CMB-2012-032-3",

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KW - Conditional expectation

KW - Injectivity

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A note on amenability of locally compact quantum groups

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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