Jump to ContentJump to Main Navigation

Online

249,00 € / $374.00*

* Prices subject to change. Shipping costs will be added if applicable.
Publication Date:
December 2010
ISSN:
1435-5345
DOI:
10.1515/crelle.2011.019

See all formats and pricing

Online
Individual Subscription Online only
Euro [D] 249.00
RRP for USA, Canada, Mexico
US$ 374.00 *
Print
Individual Subscription Online only
Euro [D] 2866.00
RRP for USA, Canada, Mexico
US$ 4299.00 *
Print + Online
Individual Subscription Online only
Euro [D] 3440.00
RRP for USA, Canada, Mexico
US$ 5159.00 *
*Prices subject to change. Shipping costs will be added if applicable.

Managing Editor: Weissauer, Rainer

Ed. by Colding, Tobias / Cuntz, Joachim / Huybrechts, Daniel / Hwang, Jun-Muk

12 Issues per year

IMPACT FACTOR 2011: 1.042
5-year IMPACT FACTOR: 1.280
Rank 37 out of 288 in category Mathematics in the 2011 Thomson Reuters Journal Citation Report/Science Edition
Mathematical Citation Quotient 2011: 1.12

VolumeIssuePage

Issues

Wandering vectors and the reflexivity of free semigroup algebras

1Pure Mathematics Department, University of Waterloo, Waterloo, Ontario, N2L 3G1 Canada

Citation Information: Journal für die reine und angewandte Mathematik (Crelles Journal). Volume 2011, Issue 653, Pages 47–53, ISSN (Online) 1435-5345, ISSN (Print) 0075-4102, DOI: 10.1515/crelle.2011.019, December 2010

Publication History:
Received:
2009-09-18
Revised:
2009-10-31
Published Online:
2010-12-14

Abstract

A free semigroup algebra is the weak-operator-closed (non-self-adjoint) operator algebra generated by n isometries with pairwise orthogonal ranges. A unit vector x is said to be wandering for if the set of images of x under words in the generators of is orthonormal.

We establish the following dichotomy: either a free semigroup algebra has a wandering vector, or it is a von Neumann algebra. Consequences include that every free semigroup algebra is reflexive, and that certain free semigroup algebras are hyper-reflexive with a very small hyper-reflexivity constant.

Comments (0)

Please log in or register to comment.