Approximate unitary equivalence of homomorphisms from odd Cuntz algebras

1996 ◽  
pp. 243-255 ◽  
Author(s):  
N. Phillips
Keyword(s):  
Unitary Equivalence ◽  
Cuntz Algebras

scholarly journals Representations of Cuntz algebras associated to quasi-stationary Markov measures

2014 ◽  
Vol 35 (7) ◽  
pp. 2080-2093 ◽  
Author(s):  
DORIN ERVIN DUTKAY ◽  
PALLE E. T. JORGENSEN
Keyword(s):  
Cuntz Algebra ◽  
Unitary Equivalence ◽  
Cuntz Algebras ◽  
Infinite Words ◽  
Markov Measures

In this paper, we answer the question of equivalence, or singularity, of two given quasi-stationary Markov measures on one-sided infinite words, as well as the corresponding question of equivalence of associated Cuntz algebra${\mathcal{O}}_{N}$-representations. We do this by associating certain monic representations of${\mathcal{O}}_{N}$to quasi-stationary Markov measures and then proving that equivalence for a pair of measures is decided by unitary equivalence of the corresponding pair of representations.

scholarly journals Verification of Unitary Equivalence of Gauges in QED

1994 ◽  
Vol 92 (1) ◽  
pp. 265-279
Author(s):  
Y. Nakawaki ◽  
A. Tanaka ◽  
K. Ozaki
Keyword(s):  
Unitary Equivalence

scholarly journals Unitary Equivalence and Similarity to Jordan Models for Weak Contractions of Class C0

2015 ◽  
Vol 67 (1) ◽  
pp. 132-151
Author(s):  
Raphaël Clouâtre
Keyword(s):  
Blaschke Product ◽  
Main Tool ◽  
Unitary Equivalence ◽  
Finite Multiplicity ◽  
Minimal Function ◽  
Boundary Representations ◽  
Class C

AbstractWe obtain results on the unitary equivalence of weak contractions of class C0 to their Jordan models under an assumption on their commutants. In particular, our work addresses the case of arbitrary finite multiplicity. The main tool in this paper is the theory of boundary representations due to Arveson. We also generalize and improve previously known results concerning unitary equivalence and similarity to Jordan models when the minimal function is a Blaschke product.

Simultaneous unitary equivalence

1976 ◽  
Vol 4 (2) ◽  
pp. 79-84 ◽  
Author(s):  
F. Alberto Grübaum
Keyword(s):  
Unitary Equivalence

Radiation field eigenstates and its unitary equivalence to coordinate eigenstates

2010 ◽  
Vol 283 (13) ◽  
pp. 2716-2718 ◽  
Author(s):  
Wang Shuai ◽  
Zhang Xiao-Yan ◽  
Li Hong-Qi
Keyword(s):  
Radiation Field ◽  
Unitary Equivalence
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