C*-algebrasNormed involutive algebras -- Positive forms and representations -- Spectrum of a C*-algebra -- Liminal C*-Algebras -- Type of a representation -- Traces and representations -- Quasi-spectrum -- Integration and distintegration of representations -- C*-algebras of Type I -- Continuous fields of C*-Algebras -- Extension to C*-Algebras of Stone-Weierstrass theorem -- Enveloping Von Neumann algebra of a C*-Algebra -- Unitary representations of locally compact groups -- Square-integrable irreducible representations -- Representations of compact groups -- Almost-periodic functions -- Characters of a locally compact group -- Dual of a locally compact group. |
Contents
NORMED INVOLUTIVE ALGEBRAS | 3 |
POSITIVE FORMS AND REPRESENTATIONS 2166 | 26 |
LIMINAL CALGEBRAS | 94 |
THE TYPE OF A REPRESENTATION | 114 |
TRACES AND REPRESENTATIONS | 131 |
THE QUASISPECTRUM | 151 |
INTEGRATION AND DISINTEGRATION | 162 |
CALGEBRAS OF TYPE I | 190 |
SQUAREINTEGRABLE IRREDUCIBLE | 309 |
REPRESENTATIONS OF COMPACT GROUPS | 319 |
ALMOSTPERIODIC FUNCTIONS | 333 |
CHARACTERS OF A LOCALLY COMPACT GROUP | 343 |
THE DUAL OF A LOCALLY COMPACT GROUP | 353 |
APPENDIX A von Neumann algebras | 374 |
APPENDIX B Miscellaneous results | 393 |
141 | 398 |
CONTINUOUS FIELDS OF CALGEBRAS | 211 |
EXTENSION TO CALGEBRAS of the STONE | 250 |
THE ENVELOPING VON NEUMANN ALGEBRA OF | 264 |
UNITARY REPRESENTATIONS OF LOCALLY | 279 |
REFERENCES | 408 |
143 | 413 |
SUPPLEMENTARY BIBLIOGRAPHY | 485 |
Copyright | |