Connes Integration Formula for the Noncommutative Plane

[1] Benameur M.(2006)Type II non-commutative geometry. I. Dixmier trace in von Neumann algebras Adv. Math. 199 29-87

[2] Fack T.(2012)Integration on locally compact noncommutative spaces J. Funct. Anal. 263 383-414

[3] Carey A.(1988)The action functional in noncommutative geometry Commun. Math. Phys. 117 673-683

[4] Gayral V.(1966)Existence de traces non normales. (French) C. R. Acad. Sci. Paris Ser. A B 262 A1107-A1108

[5] Rennie A.(2004)Commutator structure of operator ideals Adv. Math. 185 1-79

[6] Sukochev F.(1998)On summability of distributions and spectral geometry Commun. Math. Phys. 191 219-248

[7] Connes A.(2004)Moyal planes are spectral triples Commun. Math. Phys. 246 569-623

[8] Dixmier J.(2013)Traces of compact operators and the noncommutative residue Adv. Math. 235 1-55

[9] Dykema K.(2010)Measures from Dixmier traces and zeta functions J. Funct. Anal. 259 1915-1949

[10] Figiel T.(1990)Traces and shift invariant functionals Math. Nachr. 145 7-43

[1] Benameur M.(2006)Type II non-commutative geometry. I. Dixmier trace in von Neumann algebras Adv. Math. 199 29-87

[2] Fack T.(2012)Integration on locally compact noncommutative spaces J. Funct. Anal. 263 383-414

[3] Carey A.(1988)The action functional in noncommutative geometry Commun. Math. Phys. 117 673-683

[4] Gayral V.(1966)Existence de traces non normales. (French) C. R. Acad. Sci. Paris Ser. A B 262 A1107-A1108

[5] Rennie A.(2004)Commutator structure of operator ideals Adv. Math. 185 1-79

[6] Sukochev F.(1998)On summability of distributions and spectral geometry Commun. Math. Phys. 191 219-248

[7] Connes A.(2004)Moyal planes are spectral triples Commun. Math. Phys. 246 569-623

[8] Dixmier J.(2013)Traces of compact operators and the noncommutative residue Adv. Math. 235 1-55

[9] Dykema K.(2010)Measures from Dixmier traces and zeta functions J. Funct. Anal. 259 1915-1949

[10] Figiel T.(1990)Traces and shift invariant functionals Math. Nachr. 145 7-43