Vol. 135, No. 2, 1988

Recent Issues
Vol. 332: 1  2
Vol. 331: 1  2
Vol. 330: 1  2
Vol. 329: 1  2
Vol. 328: 1  2
Vol. 327: 1  2
Vol. 326: 1  2
Vol. 325: 1  2
Online Archive
Volume:
Issue:
     
The Journal
About the journal
Ethics and policies
Peer-review process
 
Submission guidelines
Submission form
Editorial board
Officers
 
Subscriptions
 
ISSN 1945-5844 (electronic)
ISSN 0030-8730 (print)
 
Special Issues
Author index
To appear
 
Other MSP journals
Finite-dimensional representation of classical crossed-product algebras

Igal Megory-Cohen

Vol. 135 (1988), No. 2, 349–359
Abstract

The paper describes the structure of finite dimensional representations of BT, the crossed-product algebra of a classical dynamical system (αT, ,C(X)) where T is a homeomorphism on a compact space X. The results are used to describe the topology of Primn(BT) and to partially classify the hyperbolic crossed-product algebras over the torus. One of the main results is that the number of orbits of any fixed length with respect to T is an invariant of BT. A consequence of that is that the entropy of T is an invariant of BT, for T a hyperbolic automorphism on the m-torus.

Mathematical Subject Classification 2000
Primary: 46L55
Secondary: 28D20, 54H15, 57S30, 58F99
Milestones
Received: 8 June 1987
Published: 1 December 1988
Authors
Igal Megory-Cohen