Operator Algebras 2 - NMMA562
Title: Operátorové algebry 2
Guaranteed by: Department of Mathematical Analysis (32-KMA)
Faculty: Faculty of Mathematics and Physics
Actual: from 2024
Semester: summer
E-Credits: 3
Hours per week, examination: summer s.:2/0, Ex [HT]
Capacity: unlimited
Min. number of students: unlimited
4EU+: no
Virtual mobility / capacity: no
State of the course: not taught
Language: Czech, English
Teaching methods: full-time
Guarantor: prof. RNDr. Ondřej Kalenda, Ph.D., DSc.
prof. RNDr. Jiří Spurný, Ph.D., DSc.
prof. RNDr. Jan Hamhalter, CSc.
Class: M Mgr. MA
M Mgr. MA > Volitelné
Classification: Mathematics > Functional Analysis, Topology and Category
Incompatibility : NRFA083
Interchangeability : NRFA083
Is interchangeable with: NRFA083
Opinion survey results   Schedule   Noticeboard   
Annotation -
Representations of C*-algebra and von Neumann algebras, ideals in von Neumann algebras, representations of dual C*-algebras.
Last update: T_KMA (02.05.2013)
Course completion requirements - Czech

Předmět je zakončen zkouškou.

Last update: Spurný Jiří, prof. RNDr., Ph.D., DSc. (06.10.2017)
Literature - Czech

Kadison, R. V., Ringrose, J. R.: Fundamentals of the theory of operator algebras. Vol. I. Elementary theory. Reprint of the 1983 original, American Mathematical Society, Providence, RI, 1997

Kadison, R. V., Ringrose, J. R.: Fundamentals of the theory of operator algebras. Vol. II. Advanced theory. Corrected reprint of the 1986 original, American Mathematical Society, Providence, RI, 1997

Takesaki, M. : Theory of operator algebras. I. Reprint of the first (1979) edition, Springer-Verlag, Berlin, 2002

Last update: T_KMA (02.05.2013)
Requirements to the exam - Czech

Zkouška bude ústní formou v rozsahu odpřednesené látky.

Last update: Spurný Jiří, prof. RNDr., Ph.D., DSc. (06.10.2017)
Syllabus -

Projections in C* algebras, representations of C* algebras, GNS construction, representation of dual C* algebras, uniqueness of preudal of a von Neumann algebra

Last update: T_KMA (25.04.2013)
Entry requirements -

A sound knowledge of functional analysis and theory of C*-algebras. This course is a direct continuation of the course Operator algebras 1 - NMMA561.

Last update: Kalenda Ondřej, prof. RNDr., Ph.D., DSc. (23.05.2019)