q-relations and stability of C*-isomorphism classes

P. E. T. Jo rgensen; L. M. Schmitt; R. F. Werner

q-relations and stability of C*-isomorphism classes

P. E. T. Jo rgensen, L. M. Schmitt, R. F. Werner

Institut für Theoretische Physik

Publikation: Beitrag in Buch/Bericht/Sammelwerk/Konferenzband › Beitrag in Buch/Sammelwerk › Forschung › Peer-Review

Abstract

In this paper we consider a class of relations which is shown to generate C*-algebras. Our emphasis is on a deformation class which interpolates between Fermions and Bosons, and we give conditions for stability of the C*-isomorphism class, as the deformation parameter varies. The base-point C*-algebra is the universal C*-algebra on a Hilbert space, which is also called the Cuntz-Toeplitz C*-algebra, and (in the finite rank case) is an extension of the Cuntz-algebra Osb n by the compacts.

Originalsprache	Englisch
Titel des Sammelwerks	Algebraic methods in operator theory
Herausgeber/-innen	R. E. Curto, P. E. T. Jo rgensen
Erscheinungsort	Boston
Herausgeber (Verlag)	Birkhäuser
Seiten	261-271
Seitenumfang	11
Publikationsstatus	Veröffentlicht - 1994

Dieses zitieren

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title = "q-relations and stability of C*-isomorphism classes",

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year = "1994",

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AU - Jo rgensen, P. E. T.

AU - Schmitt, L. M.

AU - Werner, R. F.

PY - 1994

Y1 - 1994

N2 - In this paper we consider a class of relations which is shown to generate C*-algebras. Our emphasis is on a deformation class which interpolates between Fermions and Bosons, and we give conditions for stability of the C*-isomorphism class, as the deformation parameter varies. The base-point C*-algebra is the universal C*-algebra on a Hilbert space, which is also called the Cuntz-Toeplitz C*-algebra, and (in the finite rank case) is an extension of the Cuntz-algebra Osb n by the compacts.

AB - In this paper we consider a class of relations which is shown to generate C*-algebras. Our emphasis is on a deformation class which interpolates between Fermions and Bosons, and we give conditions for stability of the C*-isomorphism class, as the deformation parameter varies. The base-point C*-algebra is the universal C*-algebra on a Hilbert space, which is also called the Cuntz-Toeplitz C*-algebra, and (in the finite rank case) is an extension of the Cuntz-algebra Osb n by the compacts.

M3 - Contribution to book/anthology

SP - 261

EP - 271

BT - Algebraic methods in operator theory

A2 - Curto, R. E.

A2 - rgensen, P. E. T. Jo

PB - Birkhäuser

CY - Boston

ER -