New York Journal of Mathematics
Volume 29 (2023), 51-106


Saeid Zahmatkesh

Partial-isometric crossed products of dynamical systems by left LCM semigroups

view    print

Published: December 24, 2022.
Keywords: LCM semigroup, crossed product, endomorphism, Nica covariance, partial isometry.
Subject [2010]: Primary 46L55

Let P be a left LCM semigroup, and α an action of P by endomorphisms of a C*-algebra A. We study a semigroup crossed product C*-algebra in which the action α is implemented by partial isometries. This crossed product gives a model for the Nica-Teoplitz algebras of product systems of Hilbert bimodules (associated with semigroup dynamical systems) studied first by Fowler, for which, we provide a structure theorem as it behaves well under short exact sequences and tensor products.



Author information

Saeid Zahmatkesh:
Department of Mathematics
Faculty of Science
King Mongkut's University of Technology
Thonburi, Bangkok 10140, THAILAND