Uniqueness questions for C*-norms on group rings

Vadim Alekseev; David Kyed

doi:10.2140/pjm.2019.298.257

Uniqueness questions for C*-norms on group rings

Vadim Alekseev, David Kyed

Department of Mathematics and Computer Science

Technical University of Denmark

Research output: Contribution to journal › Journal article › Research › peer-review

Abstract

We provide a large class of discrete amenable groups for which the complex group ring has several C*-completions, thus providing partial evidence towards a positive answer to a question raised by Rostislav Grigorchuk, Magdalena Musat and Mikael Rørdam.

Original language	English
Journal	Pacific Journal of Mathematics
Volume	298
Issue number	2
Pages (from-to)	257-266
ISSN	0030-8730
DOIs	https://doi.org/10.2140/pjm.2019.298.257
Publication status	Published - 1. Jan 2019

Keywords

C*-norms
Group rings
The Atiyah conjecture

Documents & Links

10.2140/pjm.2019.298.257

https://arxiv.org/pdf/1806.10983.pdf

Cite this

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title = "Uniqueness questions for C*-norms on group rings",

abstract = "We provide a large class of discrete amenable groups for which the complex group ring has several C*-completions, thus providing partial evidence towards a positive answer to a question raised by Rostislav Grigorchuk, Magdalena Musat and Mikael R{\o}rdam.",

keywords = "C*-norms, Group rings, The Atiyah conjecture",

author = "Vadim Alekseev and David Kyed",

year = "2019",

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T1 - Uniqueness questions for C*-norms on group rings

AU - Alekseev, Vadim

AU - Kyed, David

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N2 - We provide a large class of discrete amenable groups for which the complex group ring has several C*-completions, thus providing partial evidence towards a positive answer to a question raised by Rostislav Grigorchuk, Magdalena Musat and Mikael Rørdam.

AB - We provide a large class of discrete amenable groups for which the complex group ring has several C*-completions, thus providing partial evidence towards a positive answer to a question raised by Rostislav Grigorchuk, Magdalena Musat and Mikael Rørdam.

KW - C-norms

KW - Group rings

KW - The Atiyah conjecture

U2 - 10.2140/pjm.2019.298.257

DO - 10.2140/pjm.2019.298.257

M3 - Journal article

AN - SCOPUS:85065791447

SN - 0030-8730

VL - 298

SP - 257

EP - 266

JO - Pacific Journal of Mathematics

JF - Pacific Journal of Mathematics

IS - 2

ER -

Uniqueness questions for C*-norms on group rings

Abstract

Keywords

Documents & Links

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Cite this