Turkish Journal of Mathematics
Abstract
In this paper we obtain some properties for the pullback diagram of H^*-algebras. More precisely, we prove that the commutative diagram of H^*-algebras and morphisms A_1 @>\varphi_1>> B_1 @VV\psi_1V @VV\psi_2V A_2 @>\varphi_2>> B_2 is pullback and \psi_1 is an injection if and only if \psi_1 is a surjection, \psi_2 is an injection, and \ker \varphi_1 \cap \ker \psi_1 = \{0\}.
DOI
10.3906/mat-1303-16
Keywords
H^*-algebra, morphisms, pullback diagram, trace-class
First Page
318
Last Page
324
Recommended Citation
KHANEHGIR, M, AMYARI, M, & KHIBARY, M. M (2014). Pullback diagram of H^*-algebras. Turkish Journal of Mathematics 38 (2): 318-324. https://doi.org/10.3906/mat-1303-16