A note on the transition probability over C*-algebras

✍ Scribed by Peter M. Alberti

• Publisher: Springer
• Year: 1983
• Tongue: English
• Weight: 358 KB
• Volume: 7
• Category: Article
• ISSN: 0377-9017
• DOI: 10.1007/bf00398708

✦ Synopsis

The algebraic structure of Uhlmann's transition probability between mixed states on unital C*-algebras (see [2] ) is analyzed. Several improvements of methods to calculate the transition probability are fixed examples are given (e.g., the case of quasi-local C*-algebras is dealt with) and two more functional characterizations are proved in general (see Theorems 1 and 3).

1. Let .d be a unital C*-algebra, with unit sphere d ~, and topological dual space ~r and the set