Journal of Prime Research in Mathematics
Vol. 1 (2008), Issue 1, pp. 143 – 147
ISSN: 1817-3462 (Online) 1818-5495 (Print)
ISSN: 1817-3462 (Online) 1818-5495 (Print)
\(G_p\)-Finiteness of tensor product
M.S. Balasubramani
Deptartment of Mathematics, University of Calicut, Kerala – 673 635.
K. T. Ravindran
PG Department and Research Centre in Mathematics, Payyanur College, Payyanur, Kerala – 670 307.
\(^{1}\)Corresponding Author: msbalaa@rediffmail.com
Copyright © 2008 M.S. Balasubramani, K. T. Ravindran. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Published: December, 2008
Abstract
In this paper we introduce \(G_P\) finiteness of a Von-Neumann algebra and we define a G-dimension function. Then we prove a result on tensor product of fixed point algebra under group of automorphisms and finally verify a result under which the tensor product is \(G_P\) finite.
Keywords:
Von Neumann algebra M, the fixed point algebra under groups of automorphisms \(M^{G}\), G- central support, ultra weak continuous.