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Operator Algebras 2 - NMMA562

Title:	Operátorové algebry 2
Guaranteed by:	Department of Mathematical Analysis (32-KMA)
Faculty:	Faculty of Mathematics and Physics
Actual:	from 2023
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:	taught
Language:	Czech, English
Teaching methods:	full-time
Teaching methods:	full-time

Guarantor:	prof. RNDr. Ondřej Kalenda, Ph.D., DSc. prof. RNDr. Jiří Spurný, Ph.D., DSc. prof. Jan Hamhalter
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 Examination dates SS schedule Noticeboard

Annotation -

Last update: T_KMA (02.05.2013)

Representations of C*-algebra and von Neumann algebras, ideals in von Neumann algebras, representations of dual C*-algebras.

Course completion requirements - Czech

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

Předmět je zakončen zkouškou.

Literature - Czech

Last update: T_KMA (02.05.2013)

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

Requirements to the exam - Czech

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

Zkouška bude ústní formou v rozsahu odpřednesené látky.

Syllabus -

Last update: T_KMA (25.04.2013)

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

Entry requirements -

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

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