Remarks on HNN extensions in operator algebras

Ueda Yoshimichi

Research output: Contribution to journalArticle

13 Citations (Scopus)

Abstract

It is shown that any HNN extension is precisely a compression by a projection of a certain amalgamated free product in the framework of operator algebras. As its applications several questions for von Neumann algebras or C*-algebras arising as HNN extensions are considered.

Original languageEnglish
Pages (from-to)705-725
Number of pages21
JournalIllinois Journal of Mathematics
Volume52
Issue number3
Publication statusPublished - 2008

Fingerprint

HNN Extension
Operator Algebras
Amalgamated Free Product
Von Neumann Algebra
C*-algebra
Compression
Projection
Framework

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

Remarks on HNN extensions in operator algebras. / Yoshimichi, Ueda.

In: Illinois Journal of Mathematics, Vol. 52, No. 3, 2008, p. 705-725.

Research output: Contribution to journalArticle

Yoshimichi, U 2008, 'Remarks on HNN extensions in operator algebras', Illinois Journal of Mathematics, vol. 52, no. 3, pp. 705-725.
Yoshimichi, Ueda. / Remarks on HNN extensions in operator algebras. In: Illinois Journal of Mathematics. 2008 ; Vol. 52, No. 3. pp. 705-725.
@article{2d57437178db4c79a1fc35bdda751afb,
title = "Remarks on HNN extensions in operator algebras",
abstract = "It is shown that any HNN extension is precisely a compression by a projection of a certain amalgamated free product in the framework of operator algebras. As its applications several questions for von Neumann algebras or C*-algebras arising as HNN extensions are considered.",
author = "Ueda Yoshimichi",
year = "2008",
language = "English",
volume = "52",
pages = "705--725",
journal = "Illinois Journal of Mathematics",
issn = "0019-2082",
publisher = "University of Illinois at Urbana-Champaign",
number = "3",

}

TY - JOUR

T1 - Remarks on HNN extensions in operator algebras

AU - Yoshimichi, Ueda

PY - 2008

Y1 - 2008

N2 - It is shown that any HNN extension is precisely a compression by a projection of a certain amalgamated free product in the framework of operator algebras. As its applications several questions for von Neumann algebras or C*-algebras arising as HNN extensions are considered.

AB - It is shown that any HNN extension is precisely a compression by a projection of a certain amalgamated free product in the framework of operator algebras. As its applications several questions for von Neumann algebras or C*-algebras arising as HNN extensions are considered.

UR - http://www.scopus.com/inward/record.url?scp=77955061279&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=77955061279&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:77955061279

VL - 52

SP - 705

EP - 725

JO - Illinois Journal of Mathematics

JF - Illinois Journal of Mathematics

SN - 0019-2082

IS - 3

ER -