Integrální reprezentace operátorových algeber

• Thesis title in Czech: Integrální reprezentace operátorových algeber
• Thesis title in English: Integral representation of operator algebras
• Key words: reprezentace C*-algebry, integrální reprezentace stavů, ortogonální míra, disintegrace reprezentace
• English key words: representation of a C*-algebra, integral representation of states, orthogonal measure, disintegration of a representation
• Academic year of topic announcement: 2011/2012
• Thesis type: diploma thesis
• Thesis language: čeština
• Department: Department of Mathematical Analysis (32-KMA)
• Supervisor: prof. RNDr. Jiří Spurný, Ph.D., DSc.
• Author: hidden - assigned and confirmed by the Study Dept.
• Date of registration: 11.11.2011
• Date of assignment: 11.11.2011
• Confirmed by Study dept. on: 02.12.2011
• Date and time of defence: 17.09.2013 00:00
• Date of electronic submission: 01.08.2013
• Date of submission of printed version: 02.08.2013
• Date of proceeded defence: 17.09.2013
• Opponents: prof. RNDr. Jan Hamhalter, CSc.

Guidelines

Cílem práce je zpracovat teorii integrální reprezentace operátorových algeber a pokusit se ji zobecnit pomocí topologických metod.

References

Takesaki, M. Theory of operator algebras. I. Reprint of the first (1979) edition. Encyclopaedia of Mathematical Sciences, 124. Operator Algebras and Non-commutative Geometry, 5. Springer-Verlag, Berlin, 2002

Preliminary scope of work in English

The aim of the thesis is to provide a survey of theory of integral representation of operator algebras and try to generalize it by means of topological methods.