scholarly journals Generalized Bunce–Deddens algebras

2010 ◽  
Vol 138 (1) ◽  
pp. 299-308 ◽  
Author(s):  
Stefanos Orfanos
Keyword(s):  
Deddens Algebras

Deddens algebras and weighted shifts of infinite multiplicity

2016 ◽  
Vol 82 (34) ◽  
pp. 577-595
Author(s):  
Srdjan Petrovic ◽  
Daniel Sievewright
Keyword(s):  
Weighted Shifts ◽  
Infinite Multiplicity ◽  
Deddens Algebras

scholarly journals Homomorphisms of Bunce-Deddens algebras

1992 ◽  
Vol 155 (1) ◽  
pp. 157-167 ◽  
Author(s):  
Cornel Pasnicu
Keyword(s):  
Deddens Algebras

Compact Composition Operators and Deddens Algebras

2017 ◽  
Vol 12 (8) ◽  
pp. 1889-1901
Author(s):  
Srdjan Petrovic ◽  
Daniel Sievewright
Keyword(s):  
Composition Operators ◽  
Deddens Algebras

scholarly journals On Some Properties of Deddens Algebras

2003 ◽  
Vol 33 (3) ◽  
pp. 915-926 ◽  
Author(s):  
M.T. Karaev ◽  
H.S. Mustafayev
Keyword(s):  
Deddens Algebras

C*-ALGEBRAS WITH REAL RANK ZERO AND THEIR CORONA AND MULTIPLIER ALGEBRAS PART IV

1992 ◽  
Vol 03 (02) ◽  
pp. 309-330 ◽  
Author(s):  
SHUANG ZHANG
Keyword(s):  
Real Rank ◽  
Real Rank Zero ◽  
Multiplier Algebra ◽  
Von Neumann ◽  
Rank Zero ◽  
C Algebra ◽  
C Algebras ◽  
Neumann Theorem ◽  
Von Neumann Theorem ◽  
Deddens Algebras

By proving various equivalent versions of the generalized Weyl-von Neumann theorem, we investigate the structure of projections in the multiplier algebra [Formula: see text] of certain C*-algebra [Formula: see text] with real rank zero. For example, we prove that [Formula: see text] if and only if any two projections in [Formula: see text] are simultaneously quasidiagonal. In case [Formula: see text] is a purely infinite simple C*-algebra, [Formula: see text] if and only if any two projections in [Formula: see text] are simultaneously quasidiagonal. If [Formula: see text] is one of the Cuntz algebras, or one of finite factors or type III factors, then any two projections in [Formula: see text] are simultaneously quasidiagonal. On the other hand, if [Formula: see text] is one of the Bunce-Deddens algebras or one of the irrational rotation algebras of real rank zero, then there exist two projections in [Formula: see text] which are not simultaneously quasidiagonal.

Sign in / Sign up

Export Citation Format

Share Document