KMS states on the Toeplitz algebras of higher-rank graphs
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2020.123841
Abstract: Abstract The Toeplitz algebra T C ⁎ ( Λ ) for a finite k-graph Λ is equipped with a continuous one-parameter group α r for each r ∈ R k , obtained by composing the… read more here.
Keywords: kms states; higher rank; states toeplitz; rank graphs ... See more keywords
On Extensions of Semigroups and Their Applications to Toeplitz Algebras
Sign Up to like & getrecommendations! Published in 2019 at "Lobachevskii Journal of Mathematics"
DOI: 10.1134/s1995080219120059
Abstract: The paper deals with the normal extensions of cancellative commutative semigroups and the Toeplitz algebras for those semigroups. By the Toeplitz algebra for a semigroup S one means the reduced semigroup C*-algebra C*(S). We study… read more here.
Keywords: semigroup algebra; semigroup; normal extensions; extensions semigroups ... See more keywords