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VON NEUMANN KERNEL OF A CONNECTED LOCALLY COMPACT GROUP, REVISITED
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In the paper, a 1984 result (of two well-known mathematicians)concerning the von Neumann kernel of a connected locally compact group (the intersection of kernels of all irreducible finite-dimensional continuous complex unitary representations of the group) is corrected.
Abstract
In the paper, a 1984 result (of two well-known mathematicians)concerning the von Neumann kernel of a connected locally compact group (the intersection of kernels of all irreducible finite-dimensional continuous complex unitary representations of the group) is corrected.
참고문헌 (13)
- J. von Neumann, "Almost periodic functions in a group, Ⅰ", Trans. Amer. Math. Soc., 36, pp.445~492 (1934)
- H. Freudenthal, "Topologische Gruppen mit genügend vielen fastperiodischen Funktionen", Ann. of Math. (2), 37, pp.57~77 (1936)
- A. Weil, "L'intégration dans les groupes topologiques et ses applications", Izd. Inostr. Lit.
- M. Kuranishi, "On non-connected maximally almost periodic groups", Tôhoku Math. J. (2), 2, pp.40~46 (1950)
- S. Murakami, "Remarks on the structure of maximally almost periodic groups", Osaka Math. J., 2, pp.119~129 (1950)
- S. Grosser, "Compactness conditions in topological groups", J. Reine Angew. Math., 246, pp.1~40 (1971)
- S. Rothman, "The von Neumann kernel and minimally almost periodic groups", Trans. Amer. Math. Soc., 259(2), pp.401~421 (1980)
- Y. Matsushima, "On the decomposition of an (L)-group", J. Math. Soc. Japan, 1, pp.264~274 (1950)
- S. Rothman, "The von Neumann kernel of a locally compact group", J. Austral. Math. Soc. Ser. A, 36(2), pp.279~286 (1984)
- A. I. Shtern, "Von Neumann kernels of connected Lie groups, revisited and refined", Russ. J. Math. Phys., 17(2), pp.262~266 (2010)
- K. Iwasawa, "On some types of topological groups", Ann. of Math. (2), 50, pp.507~558 (1949)
- A. I. Shtern, "A version of the van derWaerden theorem and the proof of the Mishchenko conjecture for homomorphisms of locally compact groups", Izv. Ross. Akad. Nauk Ser. Mat., 72(1), pp.183~224 (2008)
- K. H. Hofmann, "The Lie Theory of Connected Pro-Lie Groups" (2007), European Mathematical Society
관련 논문AI추천
CONTINUITY CONDITIONS FOR LOCALLY BOUNDED FINITE-DIMENSIONAL REPRESENTATIONS OF ALMOST CONNECTED LOCALLY COMPACT GROUPSA. I. Shtern장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2018 · 제21권 제4호Finite-dimensional finally precontinuous unitary pseudorepresentations of almost connected locally compact groupsA. I. Shtern장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2019 · 제22권 제3호CONNECTED LOCALLY COMPACT GROUPS HAVING SUFFICIENTLY MANY FINITE-DIMENSIONAL LINEAR REPRESENTATIONSAlexander I. Shtern장전수학회 · Advanced Studies in Contemporary Mathematics2011 · 제21권 제1호HOCHSCHILD KERNEL FOR LOCALLY BOUNDED FINITE-DIMENSIONAL REPRESENTATIONS OF A CONNECTED REDUCTIVE LIE GROUPAlexander I. Shtern장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2010 · 제13권 제2호NOT NECESSARILY CONTINUOUS LOCALLY BOUNDED FINALLY PRECONTINUOUS FINITE-DIMENSIONAL IRREDUCIBLE REPRESENTATIONS OF CONNECTED LOCALLY COMPACT GROUPSA. I. Shtern장전수학회 · Advanced Studies in Contemporary Mathematics2021 · 제31권 제1호IRREDUCIBLE LOCALLY BOUNDED FINITE-DIMENSIONAL PSEUDOREPRESENTATIONS OF CONNECTED LIE GROUPSA. I. Shtern장전수학회 · Advanced Studies in Contemporary Mathematics2020 · 제30권 제3호
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