Open AccessCategorical Formulation of Finite-dimensional C*-algebras
Author(s) -
Jamie Vicary
Publication year - 2011
Publication title -
electronic notes in theoretical computer science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.242
H-Index - 60
ISSN - 1571-0661
DOI - 10.1016/j.entcs.2011.01.012
Subject(s) - mathematics , involution (esoterism) , pure mathematics , unitary state , categorical variable , monoid , algebraic number , algebra over a field , mathematical analysis , statistics , politics , political science , law
We develop the concept of an involution monoid, and use it to show that finite-dimensional C*-algebras are the same as special unitary †-Frobenius monoids in the category of finite-dimensional complex Hilbert spaces. This gives a new, geometrical definition of finite-dimensional C*-algebras, contrasting with the conventional algebraic one
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom