scholarly journals SOME NEW CHARACTERIZATIONS OF PARTIAL ISOMETRIES IN RINGS WITH INVOLUTION

2021 ◽  
pp. 304-311
Author(s):  
Dandan ZHAO ◽  
Junchao WEI
Keyword(s):  
Partial Isometries ◽  
Rings With Involution

scholarly journals Further results of special elements in rings with involution

Filomat ◽  
2020 ◽  
Vol 34 (10) ◽  
pp. 3381-3393
Author(s):  
Dijana Mosic ◽  
Sanzhang Xu ◽  
Julio Benítez
Keyword(s):  
Partial Isometries ◽  
Rings With Involution ◽  
Invertible Elements

In this paper, we consider Moore-Penrose invertible, group invertible, and core invertible elements in rings with involution to characterize EP, generalized normal, generalized Hermitian elements and generalized partial isometries. As a consequence, we obtain new characterizations for elements in rings with involution to be normal and Hermitian elements.

scholarly journals Invariant subgroups in rings with involution

1981 ◽  
Vol 72 (2) ◽  
pp. 342-358 ◽  
Author(s):  
Walter Streb
Keyword(s):  
Rings With Involution

scholarly journals CUNTZ–PIMSNER C*-ALGEBRAS ASSOCIATED WITH SUBSHIFTS

2008 ◽  
Vol 19 (01) ◽  
pp. 47-70 ◽  
Author(s):  
TOKE MEIER CARLSEN
Keyword(s):  
Partial Isometries ◽  
C Algebra ◽  
C Algebras ◽  
Shift Space

By using C*-correspondences and Cuntz–Pimsner algebras, we associate to every subshift (also called a shift space) 𝖷 a C*-algebra [Formula: see text], which is a generalization of the Cuntz–Krieger algebras. We show that [Formula: see text] is the universal C*-algebra generated by partial isometries satisfying relations given by 𝖷. We also show that [Formula: see text] is a one-sided conjugacy invariant of 𝖷.

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